Partie 2 : Suite de l’exploration des données

#Importation du fichier "delta.csv"
data<-read.csv(file.choose(),header = T,sep = ",",dec = ".",na.strings = "")
head(data)
##                Aircraft Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1           Airbus A319               0.0                 0           0
## 2       Airbus A319 VIP              19.4                44          12
## 3           Airbus A320               0.0                 0           0
## 4      Airbus A320 32-R               0.0                 0           0
## 5       Airbus A330-200               0.0                 0           0
## 6 Airbus A330-200 (3L2)               0.0                 0           0
##   Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                     21.0                       36                  12
## 2                     19.4                       40                  28
## 3                     21.0                       36                  12
## 4                     21.0                       36                  12
## 5                      0.0                        0                   0
## 6                      0.0                        0                   0
##   Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1                     0                     0                0
## 2                    21                    59               14
## 3                     0                     0                0
## 4                     0                     0                0
## 5                    21                    60               32
## 6                    21                    80               34
##   Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1                     17.2                       34                  18
## 2                      0.0                        0                   0
## 3                     17.2                       34                  18
## 4                     17.2                       34                  18
## 5                     18.0                       35                  30
## 6                     18.0                       35                  32
##   Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1                 17.2                 30.5              96           126
## 2                  0.0                  0.0               0            54
## 3                 17.2                 31.5             120           150
## 4                 17.2                 31.5             120           150
## 5                 18.0                 30.5             181           243
## 6                 18.0                 30.5             168           243
##   Cruising.Speed..mph. Range..miles. Engines Wingspan..ft.
## 1                  517          2399       2        111.83
## 2                  517          3119       2        111.83
## 3                  517          2420       2        111.83
## 4                  517          2420       2        111.83
## 5                  531          6536       2        197.83
## 6                  531          6536       2        197.83
##   Tail.Height..ft. Length..ft. Wifi Video Power Satellite Flat.bed Sleeper
## 1           38.583      111.00    1     0     0         0        0       0
## 2           38.583      111.00    1     1     0         0        0       0
## 3           38.583      123.25    1     0     0         0        0       0
## 4           38.583      123.25    1     0     0         0        0       0
## 5           59.830      188.67    0     1     1         0        1       0
## 6           59.830      188.67    0     1     1         0        0       1
##   Club First.Class Business Eco.Comfort Economy
## 1    0           1        0           1       1
## 2    1           1        1           0       0
## 3    0           1        0           1       1
## 4    0           1        0           1       1
## 5    0           0        1           1       1
## 6    0           0        1           1       1

Division des données par classe :

FirstClass<-data[which(data$First.Class==1),]
head(FirstClass)
##                Aircraft Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1           Airbus A319               0.0                 0           0
## 2       Airbus A319 VIP              19.4                44          12
## 3           Airbus A320               0.0                 0           0
## 4      Airbus A320 32-R               0.0                 0           0
## 9            Boeing 717               0.0                 0           0
## 10 Boeing 737-700 (73W)               0.0                 0           0
##    Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                      21.0                       36                  12
## 2                      19.4                       40                  28
## 3                      21.0                       36                  12
## 4                      21.0                       36                  12
## 9                      19.6                       37                  12
## 10                     21.0                       37                  12
##    Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1                      0                     0                0
## 2                     21                    59               14
## 3                      0                     0                0
## 4                      0                     0                0
## 9                      0                     0                0
## 10                     0                     0                0
##    Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1                      17.2                       34                  18
## 2                       0.0                        0                   0
## 3                      17.2                       34                  18
## 4                      17.2                       34                  18
## 9                      18.1                       34                  15
## 10                     17.2                       34                  18
##    Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1                  17.2                 30.5              96           126
## 2                   0.0                  0.0               0            54
## 3                  17.2                 31.5             120           150
## 4                  17.2                 31.5             120           150
## 9                  18.1                 31.0              83           110
## 10                 17.2                 30.5              94           124
##    Cruising.Speed..mph. Range..miles. Engines Wingspan..ft.
## 1                   517          2399       2       111.830
## 2                   517          3119       2       111.830
## 3                   517          2420       2       111.830
## 4                   517          2420       2       111.830
## 9                   504          1510       2        93.330
## 10                  517          2925       2       117.416
##    Tail.Height..ft. Length..ft. Wifi Video Power Satellite Flat.bed
## 1            38.583      111.00    1     0     0         0        0
## 2            38.583      111.00    1     1     0         0        0
## 3            38.583      123.25    1     0     0         0        0
## 4            38.583      123.25    1     0     0         0        0
## 9            29.083      120.00    1     0     1         0        0
## 10           41.167      110.33    1     1     1         1        0
##    Sleeper Club First.Class Business Eco.Comfort Economy
## 1        0    0           1        0           1       1
## 2        0    1           1        1           0       0
## 3        0    0           1        0           1       1
## 4        0    0           1        0           1       1
## 9        0    0           1        0           1       1
## 10       0    0           1        0           1       1
Economy<-data[which(data$Economy==1),]
head(Economy)
##                Aircraft Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1           Airbus A319                 0                 0           0
## 3           Airbus A320                 0                 0           0
## 4      Airbus A320 32-R                 0                 0           0
## 5       Airbus A330-200                 0                 0           0
## 6 Airbus A330-200 (3L2)                 0                 0           0
## 7 Airbus A330-200 (3L3)                 0                 0           0
##   Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                       21                       36                  12
## 3                       21                       36                  12
## 4                       21                       36                  12
## 5                        0                        0                   0
## 6                        0                        0                   0
## 7                        0                        0                   0
##   Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1                     0                     0                0
## 3                     0                     0                0
## 4                     0                     0                0
## 5                    21                    60               32
## 6                    21                    80               34
## 7                    21                    80               34
##   Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1                     17.2                       34                  18
## 3                     17.2                       34                  18
## 4                     17.2                       34                  18
## 5                     18.0                       35                  30
## 6                     18.0                       35                  32
## 7                     18.0                       35                  32
##   Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1                 17.2                 30.5              96           126
## 3                 17.2                 31.5             120           150
## 4                 17.2                 31.5             120           150
## 5                 18.0                 30.5             181           243
## 6                 18.0                 30.5             168           243
## 7                 18.0                 30.5             227           293
##   Cruising.Speed..mph. Range..miles. Engines Wingspan..ft.
## 1                  517          2399       2        111.83
## 3                  517          2420       2        111.83
## 4                  517          2420       2        111.83
## 5                  531          6536       2        197.83
## 6                  531          6536       2        197.83
## 7                  531          5343       2        197.83
##   Tail.Height..ft. Length..ft. Wifi Video Power Satellite Flat.bed Sleeper
## 1           38.583      111.00    1     0     0         0        0       0
## 3           38.583      123.25    1     0     0         0        0       0
## 4           38.583      123.25    1     0     0         0        0       0
## 5           59.830      188.67    0     1     1         0        1       0
## 6           59.830      188.67    0     1     1         0        0       1
## 7           56.330      208.83    0     1     1         0        1       0
##   Club First.Class Business Eco.Comfort Economy
## 1    0           1        0           1       1
## 3    0           1        0           1       1
## 4    0           1        0           1       1
## 5    0           0        1           1       1
## 6    0           0        1           1       1
## 7    0           0        1           1       1
EcoCom<-data[which(data$Eco.Comfort==1),]
head(EcoCom)
##                Aircraft Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1           Airbus A319                 0                 0           0
## 3           Airbus A320                 0                 0           0
## 4      Airbus A320 32-R                 0                 0           0
## 5       Airbus A330-200                 0                 0           0
## 6 Airbus A330-200 (3L2)                 0                 0           0
## 7 Airbus A330-200 (3L3)                 0                 0           0
##   Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                       21                       36                  12
## 3                       21                       36                  12
## 4                       21                       36                  12
## 5                        0                        0                   0
## 6                        0                        0                   0
## 7                        0                        0                   0
##   Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1                     0                     0                0
## 3                     0                     0                0
## 4                     0                     0                0
## 5                    21                    60               32
## 6                    21                    80               34
## 7                    21                    80               34
##   Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1                     17.2                       34                  18
## 3                     17.2                       34                  18
## 4                     17.2                       34                  18
## 5                     18.0                       35                  30
## 6                     18.0                       35                  32
## 7                     18.0                       35                  32
##   Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1                 17.2                 30.5              96           126
## 3                 17.2                 31.5             120           150
## 4                 17.2                 31.5             120           150
## 5                 18.0                 30.5             181           243
## 6                 18.0                 30.5             168           243
## 7                 18.0                 30.5             227           293
##   Cruising.Speed..mph. Range..miles. Engines Wingspan..ft.
## 1                  517          2399       2        111.83
## 3                  517          2420       2        111.83
## 4                  517          2420       2        111.83
## 5                  531          6536       2        197.83
## 6                  531          6536       2        197.83
## 7                  531          5343       2        197.83
##   Tail.Height..ft. Length..ft. Wifi Video Power Satellite Flat.bed Sleeper
## 1           38.583      111.00    1     0     0         0        0       0
## 3           38.583      123.25    1     0     0         0        0       0
## 4           38.583      123.25    1     0     0         0        0       0
## 5           59.830      188.67    0     1     1         0        1       0
## 6           59.830      188.67    0     1     1         0        0       1
## 7           56.330      208.83    0     1     1         0        1       0
##   Club First.Class Business Eco.Comfort Economy
## 1    0           1        0           1       1
## 3    0           1        0           1       1
## 4    0           1        0           1       1
## 5    0           0        1           1       1
## 6    0           0        1           1       1
## 7    0           0        1           1       1
Business<-data[which(data$Business==1),]
head(Business)
##                 Aircraft Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 2        Airbus A319 VIP              19.4                44          12
## 5        Airbus A330-200               0.0                 0           0
## 6  Airbus A330-200 (3L2)               0.0                 0           0
## 7  Airbus A330-200 (3L3)               0.0                 0           0
## 8        Airbus A330-300               0.0                 0           0
## 14  Boeing 747-400 (74S)               0.0                 0           0
##    Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 2                      19.4                       40                  28
## 5                       0.0                        0                   0
## 6                       0.0                        0                   0
## 7                       0.0                        0                   0
## 8                       0.0                        0                   0
## 14                      0.0                        0                   0
##    Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 2                   21.0                    59               14
## 5                   21.0                    60               32
## 6                   21.0                    80               34
## 7                   21.0                    80               34
## 8                   20.0                    60               34
## 14                  20.5                    82               48
##    Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 2                       0.0                        0                   0
## 5                      18.0                       35                  30
## 6                      18.0                       35                  32
## 7                      18.0                       35                  32
## 8                      18.0                       35                  32
## 14                     17.2                       35                  42
##    Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 2                   0.0                  0.0               0            54
## 5                  18.0                 30.5             181           243
## 6                  18.0                 30.5             168           243
## 7                  18.0                 30.5             227           293
## 8                  18.0                 30.5             232           298
## 14                 17.2                 30.5             286           376
##    Cruising.Speed..mph. Range..miles. Engines Wingspan..ft.
## 2                   517          3119       2        111.83
## 5                   531          6536       2        197.83
## 6                   531          6536       2        197.83
## 7                   531          5343       2        197.83
## 8                   531          5343       2        197.83
## 14                  564          7365       4        213.00
##    Tail.Height..ft. Length..ft. Wifi Video Power Satellite Flat.bed
## 2           38.5830      111.00    1     1     0         0        0
## 5           59.8300      188.67    0     1     1         0        1
## 6           59.8300      188.67    0     1     1         0        0
## 7           56.3300      208.83    0     1     1         0        1
## 8           56.3300      208.83    0     1     1         0        0
## 14          62.5416      231.83    0     1     1         0        1
##    Sleeper Club First.Class Business Eco.Comfort Economy
## 2        0    1           1        1           0       0
## 5        0    0           0        1           1       1
## 6        1    0           0        1           1       1
## 7        0    0           0        1           1       1
## 8        1    0           0        1           1       1
## 14       0    0           0        1           1       1

2.4-Nombre de chaises classes par type dans chaque modéle d’avion:

pie(data$Seats..First.Class.,labels = data$Aircraft,radius = 1,main = "number of first class seats in all the airplanes")

pie(data$Seats..Business.,labels = data$Aircraft,radius = 1,main="number of business seats in all the airplanes")

pie(data$Seats..Economy.,labels = data$Aircraft,radius = 1,main="number of Economy seats in all the airplanes")

pie(data$Seats..Eco.Comfort.,labels = data$Aircraft,radius = 1,main="number of Eco Comfort seats in all the airplanes")

2.5-Etude des accomodations présentes dans chaque classe :

plot(FirstClass$Aircraft,FirstClass$Power)

plot(FirstClass$Aircraft,FirstClass$Wifi)

Calcul des ratios d’accomodations(Wifi,Power,Video,Satellite,flat Bed,Sleeper,Club) pour chaque classe

First Class

wifiFirstClass<-sum(FirstClass$Wifi)/length(FirstClass$Wifi)
powerFirstClass<-sum(FirstClass$Power)/length(FirstClass$Power)
videoFirstClass<-sum(FirstClass$Video)/length(FirstClass$Video)
satelliteFirstClass<-sum(FirstClass$Satellite)/length(FirstClass$Satellite)
FlatBedFirstClass<-sum(FirstClass$Flat.bed)/length(FirstClass$Flat.bed)
SleeperFirstClass<-sum(FirstClass$Sleeper)/length(FirstClass$Sleeper)
ClubFirstClass<-sum(FirstClass$Club)/length(FirstClass$Club)

ratioFirstClass<-(wifiFirstClass+powerFirstClass+videoFirstClass+satelliteFirstClass+FlatBedFirstClass+SleeperFirstClass+ClubFirstClass)/7
cat("Le ratio de la FirstClass est :  ",ratioFirstClass)
## Le ratio de la FirstClass est :   0.2916667

Business Class

wifiBusiness<-sum(Business$Wifi)/length(Business$Wifi)
powerBusiness<-sum(Business$Power)/length(Business$Power)
videoBusiness<-sum(Business$Video)/length(Business$Video)
satelliteBusiness<-sum(Business$Satellite)/length(Business$Satellite)
FlatBedBusniss<-sum(Business$Flat.bed)/length(Business$Flat.bed)
SleeperBusniss<-sum(Business$Sleeper)/length(Business$Sleeper)
ClubBusiness<-sum(Business$Club)/length(Business$Club)
ratioBusiness<-(wifiBusiness+powerBusiness+videoBusiness+satelliteBusiness+FlatBedBusniss+SleeperBusniss+ClubBusiness)/7
cat("Le ratio de la Business Class est :  ",ratioFirstClass)
## Le ratio de la Business Class est :   0.2916667

Economy Class

wifiEco<-sum(Economy$Wifi)/length(Economy$Wifi)
powerEco<-sum(Economy$Power)/length(Economy$Power)
videoEco<-sum(Economy$Video)/length(Economy$Video)
satelliteEco<-sum(Economy$Satellite)/length(Economy$Satellite)
FlatBedEco<-sum(Economy$Flat.bed)/length(Economy$Flat.bed)
SleeperEco<-sum(Economy$Sleeper)/length(Economy$Sleeper)
ClubEco<-sum(Economy$Club)/length(Economy$Club)
ratioEconomy<-(wifiEco+powerEco+videoEco+satelliteEco+FlatBedEco+SleeperEco+ClubEco)/7
cat("Le ratio de l'economy Class est :  ",ratioFirstClass)
## Le ratio de l'economy Class est :   0.2916667

EcoComfort Class

wifiEcoCom<-sum(EcoCom$Wifi)/length(EcoCom$Wifi)
powerEcoCom<-sum(EcoCom$Power)/length(EcoCom$Power)
videoEcoCom<-sum(EcoCom$Video)/length(EcoCom$Video)
satelliteEcoCom<-sum(EcoCom$Satellite)/length(EcoCom$Satellite)
FlatBedEcoCom<-sum(EcoCom$Flat.bed)/length(EcoCom$Flat.bed)
SleeperEcoCom<-sum(EcoCom$Sleeper)/length(EcoCom$Sleeper)
ClubEcoCom<-sum(EcoCom$Club)/length(EcoCom$Club)
ratioEcoCom<-(wifiEcoCom+powerEcoCom+videoEcoCom+satelliteEcoCom+FlatBedEcoCom+SleeperEcoCom+ClubEcoCom)/7
cat("Le ratio de l'EcoComfort Class est :  ",ratioFirstClass)
## Le ratio de l'EcoComfort Class est :   0.2916667
library(plotly)
RatioDf<-data.frame(group=c("FirstClassRatio","BusinessRatio","EconomyRatio","EconomyComRatio"),value=c(ratioFirstClass,ratioBusiness,ratioEconomy,ratioEcoCom))
RatioDf
##             group     value
## 1 FirstClassRatio 0.2916667
## 2   BusinessRatio 0.4453782
## 3    EconomyRatio 0.3189369
## 4 EconomyComRatio 0.3516484
p<-ggplot(RatioDf,aes(x=group,y=value,fill=group))+geom_bar(width = 1,stat = "identity")
p

pie<-p+coord_polar("x",start=0)
pie

## Conclusion Les accomodations sont disponibles dans les classes selon cet ordre décroissant (Business Class –> EcoComfort Class –> Economy Class –> First Class) On peut dire qu’il est plus intéressant de consacrer plus d’espace à la classe EcoComfort qu’à la First Class

2.6-Répartiton des chaises par classe selon leurs types :

dfs<-data.frame(group=c('seatWidth eco','seatPitch eco'),value=c(Economy$Seat.Width..Economy.,Economy$Seat.Pitch..Economy.))
p<-ggplot(dfs,aes(x=group,y=value,fill=group))+ geom_boxplot()
p

dfss<-data.frame(group=c('seatWidth ecoCom','seatPitch ecoCom'),value=c(EcoCom$Seat.Width..Eco.Comfort.,EcoCom$Seat.Pitch..Eco.Comfort.))
p<-ggplot(dfss,aes(x=group,y=value,fill=group))+ geom_boxplot()
p

on peut voir que le seatPitch de la classe EcoComfort est plus grand que celui de la classe Economy avec un seatWidth similaire.

dfs1<-data.frame(group=c('seatWidth business','seatPitch business'),value=c(Business$Seat.Width..Business.,Business$Seat.Pitch..Business.))
p<-ggplot(dfs1,aes(x=group,y=value,fill=group))+ 
  geom_boxplot()
p

dfs2<-data.frame(group=c('seatWidth firstClass','seatPitch firstClass'),value=c(FirstClass$Seat.Width..First.Class.,FirstClass$Seat.Pitch..First.Class.))
p<-ggplot(dfs2,aes(x=group,y=value,fill=group))+ 
  geom_boxplot()
p

On peut remarquer l’écart très important entre le SeatPitch des deux classes Business et FirstClass en effet celui de la classe Business dépasse largement celui de la FirstClass. Par contre les deux classes ont un SeatWidth simialire.

delta<-data
delta
##                        Aircraft Seat.Width..Club. Seat.Pitch..Club.
## 1                   Airbus A319               0.0                 0
## 2               Airbus A319 VIP              19.4                44
## 3                   Airbus A320               0.0                 0
## 4              Airbus A320 32-R               0.0                 0
## 5               Airbus A330-200               0.0                 0
## 6         Airbus A330-200 (3L2)               0.0                 0
## 7         Airbus A330-200 (3L3)               0.0                 0
## 8               Airbus A330-300               0.0                 0
## 9                    Boeing 717               0.0                 0
## 10         Boeing 737-700 (73W)               0.0                 0
## 11         Boeing 737-800 (738)               0.0                 0
## 12         Boeing 737-800 (73H)               0.0                 0
## 13       Boeing 737-900ER (739)               0.0                 0
## 14         Boeing 747-400 (74S)               0.0                 0
## 15         Boeing 757-200 (75A)               0.0                 0
## 16         Boeing 757-200 (75E)               0.0                 0
## 17         Boeing 757-200 (75M)               0.0                 0
## 18         Boeing 757-200 (75N)               0.0                 0
## 19         Boeing 757-200 (757)               0.0                 0
## 20         Boeing 757-200 (75V)               0.0                 0
## 21         Boeing 757-200 (75X)               0.0                 0
## 22               Boeing 757-300               0.0                 0
## 23         Boeing 767-300 (76G)               0.0                 0
## 24         Boeing 767-300 (76L)               0.0                 0
## 25         Boeing 767-300 (76P)               0.0                 0
## 26         Boeing 767-300 (76Q)               0.0                 0
## 27         Boeing 767-300 (76T)               0.0                 0
## 28         Boeing 767-300 (76U)               0.0                 0
## 29     Boeing 767-300 (76Z V.1)               0.0                 0
## 30     Boeing 767-300 (76Z V.2)               0.0                 0
## 31         Boeing 767-400 (76D)               0.0                 0
## 32             Boeing 777-200ER               0.0                 0
## 33             Boeing 777-200LR               0.0                 0
## 34 CRJ 100/200 Pinnacle/SkyWest               0.0                 0
## 35       CRJ 100/200 ExpressJet               0.0                 0
## 36                      CRJ 700               0.0                 0
## 37                      CRJ 900               0.0                 0
## 38                         E120               0.0                 0
## 39                         E170               0.0                 0
## 40                         E175               0.0                 0
## 41                      ERJ-145               0.0                 0
## 42                        MD-88               0.0                 0
## 43                        MD-90               0.0                 0
## 44                    MD-DC9-50               0.0                 0
##    Seat..Club. Seat.Width..First.Class. Seat.Pitch..First.Class.
## 1            0                     21.0                     36.0
## 2           12                     19.4                     40.0
## 3            0                     21.0                     36.0
## 4            0                     21.0                     36.0
## 5            0                      0.0                      0.0
## 6            0                      0.0                      0.0
## 7            0                      0.0                      0.0
## 8            0                      0.0                      0.0
## 9            0                     19.6                     37.0
## 10           0                     21.0                     37.0
## 11           0                     21.0                     37.0
## 12           0                     21.0                     38.0
## 13           0                     21.0                     37.0
## 14           0                      0.0                      0.0
## 15           0                     21.0                     40.0
## 16           0                      0.0                      0.0
## 17           0                     21.0                     37.0
## 18           0                     21.0                     37.0
## 19           0                     21.0                     37.5
## 20           0                     21.0                     45.0
## 21           0                      0.0                      0.0
## 22           0                     21.0                     37.0
## 23           0                      0.0                      0.0
## 24           0                      0.0                      0.0
## 25           0                     18.5                     37.5
## 26           0                     18.5                     37.5
## 27           0                      0.0                      0.0
## 28           0                     18.5                     60.0
## 29           0                      0.0                      0.0
## 30           0                      0.0                      0.0
## 31           0                      0.0                      0.0
## 32           0                      0.0                      0.0
## 33           0                      0.0                      0.0
## 34           0                      0.0                      0.0
## 35           0                      0.0                      0.0
## 36           0                     19.6                     36.0
## 37           0                     19.6                     37.0
## 38           0                      0.0                      0.0
## 39           0                     20.0                     37.0
## 40           0                     20.0                     37.0
## 41           0                      0.0                      0.0
## 42           0                     19.6                     37.0
## 43           0                     19.6                     37.0
## 44           0                     19.6                     38.0
##    Seats..First.Class. Seat.Width..Business. Seat.Pitch..Business.
## 1                   12                   0.0                  0.00
## 2                   28                  21.0                 59.00
## 3                   12                   0.0                  0.00
## 4                   12                   0.0                  0.00
## 5                    0                  21.0                 60.00
## 6                    0                  21.0                 80.00
## 7                    0                  21.0                 80.00
## 8                    0                  20.0                 60.00
## 9                   12                   0.0                  0.00
## 10                  12                   0.0                  0.00
## 11                  16                   0.0                  0.00
## 12                  16                   0.0                  0.00
## 13                  20                   0.0                  0.00
## 14                   0                  20.5                 82.00
## 15                  24                   0.0                  0.00
## 16                   0                  21.0                 54.50
## 17                  22                   0.0                  0.00
## 18                  22                   0.0                  0.00
## 19                  24                   0.0                  0.00
## 20                  22                   0.0                  0.00
## 21                   0                  21.0                 38.00
## 22                  24                   0.0                  0.00
## 23                   0                  18.5                 60.00
## 24                   0                  21.0                 78.95
## 25                  30                   0.0                  0.00
## 26                  30                   0.0                  0.00
## 27                   0                  21.0                 78.95
## 28                  36                   0.0                  0.00
## 29                   0                  21.0                 78.95
## 30                   0                  21.0                 78.95
## 31                   0                  21.0                 78.95
## 32                   0                  21.0                 78.00
## 33                   0                  21.0                 78.00
## 34                   0                   0.0                  0.00
## 35                   0                   0.0                  0.00
## 36                   9                   0.0                  0.00
## 37                  12                   0.0                  0.00
## 38                   0                   0.0                  0.00
## 39                   9                   0.0                  0.00
## 40                  12                   0.0                  0.00
## 41                   0                   0.0                  0.00
## 42                  16                   0.0                  0.00
## 43                  16                   0.0                  0.00
## 44                  16                   0.0                  0.00
##    Seats..Business. Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort.
## 1                 0                    17.20                     34.0
## 2                14                     0.00                      0.0
## 3                 0                    17.20                     34.0
## 4                 0                    17.20                     34.0
## 5                32                    18.00                     35.0
## 6                34                    18.00                     35.0
## 7                34                    18.00                     35.0
## 8                34                    18.00                     35.0
## 9                 0                    18.10                     34.0
## 10                0                    17.20                     34.0
## 11                0                    17.20                     34.0
## 12                0                    17.20                     34.0
## 13                0                    17.20                     34.0
## 14               48                    17.20                     35.0
## 15                0                    17.20                     35.0
## 16               16                    17.20                     35.0
## 17                0                    17.20                     34.5
## 18                0                    17.20                     34.0
## 19                0                    17.20                     34.5
## 20                0                    17.20                     34.5
## 21               26                    17.20                     34.0
## 22                0                    17.20                     34.0
## 23               30                    17.90                     35.0
## 24               36                    17.90                     35.0
## 25                0                    17.90                     34.0
## 26                0                    17.90                     34.0
## 27               36                    17.90                     35.0
## 28                0                    17.90                     35.0
## 29               26                    17.90                     35.0
## 30               26                    17.90                     35.0
## 31               40                    17.90                     35.0
## 32               45                    18.50                     36.0
## 33               45                    18.50                     35.0
## 34                0                     0.00                      0.0
## 35                0                     0.00                      0.0
## 36                0                    17.30                     34.0
## 37                0                    17.30                     34.0
## 38                0                     0.00                      0.0
## 39                0                    18.25                     34.0
## 40                0                    18.25                     34.0
## 41                0                     0.00                      0.0
## 42                0                    18.10                     34.0
## 43                0                    18.10                     34.0
## 44                0                    18.10                     35.0
##    Seats..Eco.Comfort. Seat.Width..Economy. Seat.Pitch..Economy.
## 1                   18                17.20                 30.5
## 2                    0                 0.00                  0.0
## 3                   18                17.20                 31.5
## 4                   18                17.20                 31.5
## 5                   30                18.00                 30.5
## 6                   32                18.00                 30.5
## 7                   32                18.00                 30.5
## 8                   32                18.00                 30.5
## 9                   15                18.10                 31.0
## 10                  18                17.20                 30.5
## 11                  18                17.20                 30.5
## 12                  18                17.20                 30.5
## 13                  21                17.20                 30.5
## 14                  42                17.20                 30.5
## 15                  18                17.20                 31.0
## 16                  25                17.20                 30.5
## 17                  18                17.20                 31.0
## 18                  19                17.20                 31.5
## 19                  20                17.20                 31.5
## 20                  21                17.20                 32.0
## 21                  26                17.20                 31.5
## 22                  23                17.20                 31.0
## 23                  38                17.90                 31.5
## 24                  32                17.90                 31.5
## 25                  28                17.90                 31.5
## 26                  28                17.90                 31.5
## 27                  29                17.90                 31.5
## 28                  31                17.90                 31.5
## 29                  35                17.90                 31.5
## 30                  29                17.90                 31.5
## 31                  28                17.90                 31.5
## 32                  36                18.50                 31.5
## 33                  36                18.50                 31.5
## 34                   0                17.30                 31.0
## 35                   0                17.30                 31.0
## 36                   8                17.30                 31.0
## 37                  12                17.30                 31.0
## 38                   0                18.20                 31.0
## 39                  12                18.25                 31.0
## 40                  12                18.25                 31.0
## 41                   0                17.30                 31.0
## 42                  15                18.10                 32.0
## 43                  15                18.10                 31.5
## 44                  14                18.10                 31.0
##    Seats..Economy. Accommodation Cruising.Speed..mph. Range..miles.
## 1               96           126                  517          2399
## 2                0            54                  517          3119
## 3              120           150                  517          2420
## 4              120           150                  517          2420
## 5              181           243                  531          6536
## 6              168           243                  531          6536
## 7              227           293                  531          5343
## 8              232           298                  531          5343
## 9               83           110                  504          1510
## 10              94           124                  517          2925
## 11             126           124                  517          2925
## 12             126           160                  517          2850
## 13             139           180                  517          2870
## 14             286           376                  564          7365
## 15             132           174                  517          4344
## 16             130           171                  517          4705
## 17             141           181                  517          2854
## 18             141           182                  517          2854
## 19             136           180                  517          3393
## 20             132           175                  517          3764
## 21             132           184                  517          3764
## 22             177           224                  517          3228
## 23             140           208                  517          6408
## 24             143           211                  517          6408
## 25             203           261                  517          3515
## 26             203           261                  517          3515
## 27             143           208                  517          6640
## 28             143           210                  517          6408
## 29             171           226                  517          6221
## 30             171           226                  517          6221
## 31             178           246                  517          6336
## 32             188           269                  550          8542
## 33             188           269                  550         10375
## 34              50            50                  488          1265
## 35              50            50                  488          1265
## 36              48            65                  515          1650
## 37              52            76                  515          1744
## 38              28            28                  364           920
## 39              48            69                  545          1800
## 40              52            76                  545          1800
## 41              50            50                  517          1496
## 42             118           149                  498          1510
## 43             129           160                  498          1992
## 44              90           120                  504           731
##    Engines Wingspan..ft. Tail.Height..ft. Length..ft. Wifi Video Power
## 1        2       111.830          38.5830     111.000    1     0     0
## 2        2       111.830          38.5830     111.000    1     1     0
## 3        2       111.830          38.5830     123.250    1     0     0
## 4        2       111.830          38.5830     123.250    1     0     0
## 5        2       197.830          59.8300     188.670    0     1     1
## 6        2       197.830          59.8300     188.670    0     1     1
## 7        2       197.830          56.3300     208.830    0     1     1
## 8        2       197.830          56.3300     208.830    0     1     1
## 9        2        93.330          29.0830     120.000    1     0     1
## 10       2       117.416          41.1670     110.330    1     1     1
## 11       2       117.416          41.1670     110.330    1     1     1
## 12       2       117.416          41.1670     129.500    1     1     1
## 13       2       117.416          41.1670     138.167    1     1     1
## 14       4       213.000          62.5416     231.830    0     1     1
## 15       2       134.750          44.5000     155.250    0     1     0
## 16       2       134.750          44.5000     155.250    1     1     1
## 17       2       134.750          44.5000     155.250    1     0     0
## 18       2       134.750          44.5000     155.250    1     0     0
## 19       2       111.830          38.5830     123.250    1     1     0
## 20       2       134.750          44.5000     155.250    1     1     0
## 21       2       134.750          44.5000     155.250    1     1     1
## 22       2       124.830          45.0830     177.416    1     1     0
## 23       2       156.083          52.0000     180.250    0     1     1
## 24       2       156.083          52.0000     180.250    0     1     1
## 25       2       156.083          52.0000     180.250    1     1     1
## 26       2       156.083          52.0000     180.250    1     1     1
## 27       2       156.083          52.0000     180.250    0     1     1
## 28       2       156.083          52.0000     180.250    0     1     1
## 29       2       156.083          52.0000     180.250    0     1     1
## 30       2       156.083          52.0000     180.250    0     1     1
## 31       2       171.000          54.9170     201.330    0     1     1
## 32       2       212.583          61.3300     209.083    0     1     1
## 33       2       212.583          61.3300     209.083    0     1     1
## 34       2        69.583          20.4160      87.830    0     0     0
## 35       2        69.583          20.4160      87.830    0     0     0
## 36       2        76.250          24.8300     106.083    1     0     0
## 37       2        81.583          24.5830     118.916    1     0     0
## 38       2        64.916          20.8300      65.583    0     0     0
## 39       2        85.416          32.3300      98.083    1     0     0
## 40       2        85.416          31.9160     103.916    1     0     0
## 41       2        65.750          22.1670      98.000    0     0     0
## 42       2       107.830          30.5000     147.830    1     0     1
## 43       2       107.830          30.5830     152.583    1     0     1
## 44       2        93.830          27.5000     133.500    1     0     0
##    Satellite Flat.bed Sleeper Club First.Class Business Eco.Comfort
## 1          0        0       0    0           1        0           1
## 2          0        0       0    1           1        1           0
## 3          0        0       0    0           1        0           1
## 4          0        0       0    0           1        0           1
## 5          0        1       0    0           0        1           1
## 6          0        0       1    0           0        1           1
## 7          0        1       0    0           0        1           1
## 8          0        0       1    0           0        1           1
## 9          0        0       0    0           1        0           1
## 10         1        0       0    0           1        0           1
## 11         1        0       0    0           1        0           1
## 12         1        0       0    0           1        0           1
## 13         0        0       0    0           1        0           1
## 14         0        1       0    0           0        1           1
## 15         0        0       0    0           1        0           1
## 16         0        0       1    0           0        1           1
## 17         0        0       0    0           1        0           1
## 18         0        0       0    0           1        0           1
## 19         0        0       0    0           1        0           1
## 20         0        0       0    0           1        0           1
## 21         1        0       0    0           0        1           1
## 22         0        0       0    0           1        0           1
## 23         0        0       1    0           0        1           1
## 24         0        1       0    0           0        1           1
## 25         1        0       0    0           1        0           1
## 26         1        0       0    0           1        0           1
## 27         0        1       0    0           0        1           1
## 28         0        0       1    0           0        1           1
## 29         0        1       0    0           0        1           1
## 30         0        0       1    0           0        1           1
## 31         0        1       0    0           0        1           1
## 32         0        1       0    0           0        1           1
## 33         0        1       0    0           0        1           1
## 34         0        0       0    0           0        0           0
## 35         0        0       0    0           0        0           0
## 36         0        0       0    0           1        0           1
## 37         0        0       0    0           1        0           1
## 38         0        0       0    0           0        0           0
## 39         0        0       0    0           1        0           1
## 40         0        0       0    0           1        0           1
## 41         0        0       0    0           0        0           0
## 42         0        0       0    0           1        0           1
## 43         0        0       0    0           1        0           1
## 44         0        0       0    0           1        0           1
##    Economy
## 1        1
## 2        0
## 3        1
## 4        1
## 5        1
## 6        1
## 7        1
## 8        1
## 9        1
## 10       1
## 11       1
## 12       1
## 13       1
## 14       1
## 15       1
## 16       1
## 17       1
## 18       1
## 19       1
## 20       1
## 21       1
## 22       1
## 23       1
## 24       1
## 25       1
## 26       1
## 27       1
## 28       1
## 29       1
## 30       1
## 31       1
## 32       1
## 33       1
## 34       1
## 35       1
## 36       1
## 37       1
## 38       1
## 39       1
## 40       1
## 41       1
## 42       1
## 43       1
## 44       1
delta_1<-delta
delta_1$Aircraft<-NULL
delta_1
##    Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1                0.0                 0           0
## 2               19.4                44          12
## 3                0.0                 0           0
## 4                0.0                 0           0
## 5                0.0                 0           0
## 6                0.0                 0           0
## 7                0.0                 0           0
## 8                0.0                 0           0
## 9                0.0                 0           0
## 10               0.0                 0           0
## 11               0.0                 0           0
## 12               0.0                 0           0
## 13               0.0                 0           0
## 14               0.0                 0           0
## 15               0.0                 0           0
## 16               0.0                 0           0
## 17               0.0                 0           0
## 18               0.0                 0           0
## 19               0.0                 0           0
## 20               0.0                 0           0
## 21               0.0                 0           0
## 22               0.0                 0           0
## 23               0.0                 0           0
## 24               0.0                 0           0
## 25               0.0                 0           0
## 26               0.0                 0           0
## 27               0.0                 0           0
## 28               0.0                 0           0
## 29               0.0                 0           0
## 30               0.0                 0           0
## 31               0.0                 0           0
## 32               0.0                 0           0
## 33               0.0                 0           0
## 34               0.0                 0           0
## 35               0.0                 0           0
## 36               0.0                 0           0
## 37               0.0                 0           0
## 38               0.0                 0           0
## 39               0.0                 0           0
## 40               0.0                 0           0
## 41               0.0                 0           0
## 42               0.0                 0           0
## 43               0.0                 0           0
## 44               0.0                 0           0
##    Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                      21.0                     36.0                  12
## 2                      19.4                     40.0                  28
## 3                      21.0                     36.0                  12
## 4                      21.0                     36.0                  12
## 5                       0.0                      0.0                   0
## 6                       0.0                      0.0                   0
## 7                       0.0                      0.0                   0
## 8                       0.0                      0.0                   0
## 9                      19.6                     37.0                  12
## 10                     21.0                     37.0                  12
## 11                     21.0                     37.0                  16
## 12                     21.0                     38.0                  16
## 13                     21.0                     37.0                  20
## 14                      0.0                      0.0                   0
## 15                     21.0                     40.0                  24
## 16                      0.0                      0.0                   0
## 17                     21.0                     37.0                  22
## 18                     21.0                     37.0                  22
## 19                     21.0                     37.5                  24
## 20                     21.0                     45.0                  22
## 21                      0.0                      0.0                   0
## 22                     21.0                     37.0                  24
## 23                      0.0                      0.0                   0
## 24                      0.0                      0.0                   0
## 25                     18.5                     37.5                  30
## 26                     18.5                     37.5                  30
## 27                      0.0                      0.0                   0
## 28                     18.5                     60.0                  36
## 29                      0.0                      0.0                   0
## 30                      0.0                      0.0                   0
## 31                      0.0                      0.0                   0
## 32                      0.0                      0.0                   0
## 33                      0.0                      0.0                   0
## 34                      0.0                      0.0                   0
## 35                      0.0                      0.0                   0
## 36                     19.6                     36.0                   9
## 37                     19.6                     37.0                  12
## 38                      0.0                      0.0                   0
## 39                     20.0                     37.0                   9
## 40                     20.0                     37.0                  12
## 41                      0.0                      0.0                   0
## 42                     19.6                     37.0                  16
## 43                     19.6                     37.0                  16
## 44                     19.6                     38.0                  16
##    Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1                    0.0                  0.00                0
## 2                   21.0                 59.00               14
## 3                    0.0                  0.00                0
## 4                    0.0                  0.00                0
## 5                   21.0                 60.00               32
## 6                   21.0                 80.00               34
## 7                   21.0                 80.00               34
## 8                   20.0                 60.00               34
## 9                    0.0                  0.00                0
## 10                   0.0                  0.00                0
## 11                   0.0                  0.00                0
## 12                   0.0                  0.00                0
## 13                   0.0                  0.00                0
## 14                  20.5                 82.00               48
## 15                   0.0                  0.00                0
## 16                  21.0                 54.50               16
## 17                   0.0                  0.00                0
## 18                   0.0                  0.00                0
## 19                   0.0                  0.00                0
## 20                   0.0                  0.00                0
## 21                  21.0                 38.00               26
## 22                   0.0                  0.00                0
## 23                  18.5                 60.00               30
## 24                  21.0                 78.95               36
## 25                   0.0                  0.00                0
## 26                   0.0                  0.00                0
## 27                  21.0                 78.95               36
## 28                   0.0                  0.00                0
## 29                  21.0                 78.95               26
## 30                  21.0                 78.95               26
## 31                  21.0                 78.95               40
## 32                  21.0                 78.00               45
## 33                  21.0                 78.00               45
## 34                   0.0                  0.00                0
## 35                   0.0                  0.00                0
## 36                   0.0                  0.00                0
## 37                   0.0                  0.00                0
## 38                   0.0                  0.00                0
## 39                   0.0                  0.00                0
## 40                   0.0                  0.00                0
## 41                   0.0                  0.00                0
## 42                   0.0                  0.00                0
## 43                   0.0                  0.00                0
## 44                   0.0                  0.00                0
##    Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1                     17.20                     34.0                  18
## 2                      0.00                      0.0                   0
## 3                     17.20                     34.0                  18
## 4                     17.20                     34.0                  18
## 5                     18.00                     35.0                  30
## 6                     18.00                     35.0                  32
## 7                     18.00                     35.0                  32
## 8                     18.00                     35.0                  32
## 9                     18.10                     34.0                  15
## 10                    17.20                     34.0                  18
## 11                    17.20                     34.0                  18
## 12                    17.20                     34.0                  18
## 13                    17.20                     34.0                  21
## 14                    17.20                     35.0                  42
## 15                    17.20                     35.0                  18
## 16                    17.20                     35.0                  25
## 17                    17.20                     34.5                  18
## 18                    17.20                     34.0                  19
## 19                    17.20                     34.5                  20
## 20                    17.20                     34.5                  21
## 21                    17.20                     34.0                  26
## 22                    17.20                     34.0                  23
## 23                    17.90                     35.0                  38
## 24                    17.90                     35.0                  32
## 25                    17.90                     34.0                  28
## 26                    17.90                     34.0                  28
## 27                    17.90                     35.0                  29
## 28                    17.90                     35.0                  31
## 29                    17.90                     35.0                  35
## 30                    17.90                     35.0                  29
## 31                    17.90                     35.0                  28
## 32                    18.50                     36.0                  36
## 33                    18.50                     35.0                  36
## 34                     0.00                      0.0                   0
## 35                     0.00                      0.0                   0
## 36                    17.30                     34.0                   8
## 37                    17.30                     34.0                  12
## 38                     0.00                      0.0                   0
## 39                    18.25                     34.0                  12
## 40                    18.25                     34.0                  12
## 41                     0.00                      0.0                   0
## 42                    18.10                     34.0                  15
## 43                    18.10                     34.0                  15
## 44                    18.10                     35.0                  14
##    Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1                 17.20                 30.5              96           126
## 2                  0.00                  0.0               0            54
## 3                 17.20                 31.5             120           150
## 4                 17.20                 31.5             120           150
## 5                 18.00                 30.5             181           243
## 6                 18.00                 30.5             168           243
## 7                 18.00                 30.5             227           293
## 8                 18.00                 30.5             232           298
## 9                 18.10                 31.0              83           110
## 10                17.20                 30.5              94           124
## 11                17.20                 30.5             126           124
## 12                17.20                 30.5             126           160
## 13                17.20                 30.5             139           180
## 14                17.20                 30.5             286           376
## 15                17.20                 31.0             132           174
## 16                17.20                 30.5             130           171
## 17                17.20                 31.0             141           181
## 18                17.20                 31.5             141           182
## 19                17.20                 31.5             136           180
## 20                17.20                 32.0             132           175
## 21                17.20                 31.5             132           184
## 22                17.20                 31.0             177           224
## 23                17.90                 31.5             140           208
## 24                17.90                 31.5             143           211
## 25                17.90                 31.5             203           261
## 26                17.90                 31.5             203           261
## 27                17.90                 31.5             143           208
## 28                17.90                 31.5             143           210
## 29                17.90                 31.5             171           226
## 30                17.90                 31.5             171           226
## 31                17.90                 31.5             178           246
## 32                18.50                 31.5             188           269
## 33                18.50                 31.5             188           269
## 34                17.30                 31.0              50            50
## 35                17.30                 31.0              50            50
## 36                17.30                 31.0              48            65
## 37                17.30                 31.0              52            76
## 38                18.20                 31.0              28            28
## 39                18.25                 31.0              48            69
## 40                18.25                 31.0              52            76
## 41                17.30                 31.0              50            50
## 42                18.10                 32.0             118           149
## 43                18.10                 31.5             129           160
## 44                18.10                 31.0              90           120
##    Cruising.Speed..mph. Range..miles. Engines Wingspan..ft.
## 1                   517          2399       2       111.830
## 2                   517          3119       2       111.830
## 3                   517          2420       2       111.830
## 4                   517          2420       2       111.830
## 5                   531          6536       2       197.830
## 6                   531          6536       2       197.830
## 7                   531          5343       2       197.830
## 8                   531          5343       2       197.830
## 9                   504          1510       2        93.330
## 10                  517          2925       2       117.416
## 11                  517          2925       2       117.416
## 12                  517          2850       2       117.416
## 13                  517          2870       2       117.416
## 14                  564          7365       4       213.000
## 15                  517          4344       2       134.750
## 16                  517          4705       2       134.750
## 17                  517          2854       2       134.750
## 18                  517          2854       2       134.750
## 19                  517          3393       2       111.830
## 20                  517          3764       2       134.750
## 21                  517          3764       2       134.750
## 22                  517          3228       2       124.830
## 23                  517          6408       2       156.083
## 24                  517          6408       2       156.083
## 25                  517          3515       2       156.083
## 26                  517          3515       2       156.083
## 27                  517          6640       2       156.083
## 28                  517          6408       2       156.083
## 29                  517          6221       2       156.083
## 30                  517          6221       2       156.083
## 31                  517          6336       2       171.000
## 32                  550          8542       2       212.583
## 33                  550         10375       2       212.583
## 34                  488          1265       2        69.583
## 35                  488          1265       2        69.583
## 36                  515          1650       2        76.250
## 37                  515          1744       2        81.583
## 38                  364           920       2        64.916
## 39                  545          1800       2        85.416
## 40                  545          1800       2        85.416
## 41                  517          1496       2        65.750
## 42                  498          1510       2       107.830
## 43                  498          1992       2       107.830
## 44                  504           731       2        93.830
##    Tail.Height..ft. Length..ft. Wifi Video Power Satellite Flat.bed
## 1           38.5830     111.000    1     0     0         0        0
## 2           38.5830     111.000    1     1     0         0        0
## 3           38.5830     123.250    1     0     0         0        0
## 4           38.5830     123.250    1     0     0         0        0
## 5           59.8300     188.670    0     1     1         0        1
## 6           59.8300     188.670    0     1     1         0        0
## 7           56.3300     208.830    0     1     1         0        1
## 8           56.3300     208.830    0     1     1         0        0
## 9           29.0830     120.000    1     0     1         0        0
## 10          41.1670     110.330    1     1     1         1        0
## 11          41.1670     110.330    1     1     1         1        0
## 12          41.1670     129.500    1     1     1         1        0
## 13          41.1670     138.167    1     1     1         0        0
## 14          62.5416     231.830    0     1     1         0        1
## 15          44.5000     155.250    0     1     0         0        0
## 16          44.5000     155.250    1     1     1         0        0
## 17          44.5000     155.250    1     0     0         0        0
## 18          44.5000     155.250    1     0     0         0        0
## 19          38.5830     123.250    1     1     0         0        0
## 20          44.5000     155.250    1     1     0         0        0
## 21          44.5000     155.250    1     1     1         1        0
## 22          45.0830     177.416    1     1     0         0        0
## 23          52.0000     180.250    0     1     1         0        0
## 24          52.0000     180.250    0     1     1         0        1
## 25          52.0000     180.250    1     1     1         1        0
## 26          52.0000     180.250    1     1     1         1        0
## 27          52.0000     180.250    0     1     1         0        1
## 28          52.0000     180.250    0     1     1         0        0
## 29          52.0000     180.250    0     1     1         0        1
## 30          52.0000     180.250    0     1     1         0        0
## 31          54.9170     201.330    0     1     1         0        1
## 32          61.3300     209.083    0     1     1         0        1
## 33          61.3300     209.083    0     1     1         0        1
## 34          20.4160      87.830    0     0     0         0        0
## 35          20.4160      87.830    0     0     0         0        0
## 36          24.8300     106.083    1     0     0         0        0
## 37          24.5830     118.916    1     0     0         0        0
## 38          20.8300      65.583    0     0     0         0        0
## 39          32.3300      98.083    1     0     0         0        0
## 40          31.9160     103.916    1     0     0         0        0
## 41          22.1670      98.000    0     0     0         0        0
## 42          30.5000     147.830    1     0     1         0        0
## 43          30.5830     152.583    1     0     1         0        0
## 44          27.5000     133.500    1     0     0         0        0
##    Sleeper Club First.Class Business Eco.Comfort Economy
## 1        0    0           1        0           1       1
## 2        0    1           1        1           0       0
## 3        0    0           1        0           1       1
## 4        0    0           1        0           1       1
## 5        0    0           0        1           1       1
## 6        1    0           0        1           1       1
## 7        0    0           0        1           1       1
## 8        1    0           0        1           1       1
## 9        0    0           1        0           1       1
## 10       0    0           1        0           1       1
## 11       0    0           1        0           1       1
## 12       0    0           1        0           1       1
## 13       0    0           1        0           1       1
## 14       0    0           0        1           1       1
## 15       0    0           1        0           1       1
## 16       1    0           0        1           1       1
## 17       0    0           1        0           1       1
## 18       0    0           1        0           1       1
## 19       0    0           1        0           1       1
## 20       0    0           1        0           1       1
## 21       0    0           0        1           1       1
## 22       0    0           1        0           1       1
## 23       1    0           0        1           1       1
## 24       0    0           0        1           1       1
## 25       0    0           1        0           1       1
## 26       0    0           1        0           1       1
## 27       0    0           0        1           1       1
## 28       1    0           0        1           1       1
## 29       0    0           0        1           1       1
## 30       1    0           0        1           1       1
## 31       0    0           0        1           1       1
## 32       0    0           0        1           1       1
## 33       0    0           0        1           1       1
## 34       0    0           0        0           0       1
## 35       0    0           0        0           0       1
## 36       0    0           1        0           1       1
## 37       0    0           1        0           1       1
## 38       0    0           0        0           0       1
## 39       0    0           1        0           1       1
## 40       0    0           1        0           1       1
## 41       0    0           0        0           0       1
## 42       0    0           1        0           1       1
## 43       0    0           1        0           1       1
## 44       0    0           1        0           1       1
cor(delta_1)
##                          Seat.Width..Club. Seat.Pitch..Club.  Seat..Club.
## Seat.Width..Club.              1.000000000       1.000000000  1.000000000
## Seat.Pitch..Club.              1.000000000       1.000000000  1.000000000
## Seat..Club.                    1.000000000       1.000000000  1.000000000
## Seat.Width..First.Class.       0.120189617       0.120189617  0.120189617
## Seat.Pitch..First.Class.       0.142771421       0.142771421  0.142771421
## Seats..First.Class.            0.249277189       0.249277189  0.249277189
## Seat.Width..Business.          0.205403882       0.205403882  0.205403882
## Seat.Pitch..Business.          0.147212920       0.147212920  0.147212920
## Seats..Business.               0.019545178       0.019545178  0.019545178
## Seat.Width..Eco.Comfort.      -0.424753564      -0.424753564 -0.424753564
## Seat.Pitch..Eco.Comfort.      -0.425461948      -0.425461948 -0.425461948
## Seats..Eco.Comfort.           -0.292981507      -0.292981507 -0.292981507
## Seat.Width..Economy.          -0.986824851      -0.986824851 -0.986824851
## Seat.Pitch..Economy.          -0.995580910      -0.995580910 -0.995580910
## Seats..Economy.               -0.335108702      -0.335108702 -0.335108702
## Accommodation                 -0.229942100      -0.229942100 -0.229942100
## Cruising.Speed..mph.           0.006851511       0.006851511  0.006851511
## Range..miles.                 -0.050662801      -0.050662801 -0.050662801
## Engines                       -0.023255814      -0.023255814 -0.023255814
## Wingspan..ft.                 -0.073998183      -0.073998183 -0.073998183
## Tail.Height..ft.              -0.050142509      -0.050142509 -0.050142509
## Length..ft.                   -0.149085694      -0.149085694 -0.149085694
## Wifi                           0.132945171       0.132945171  0.132945171
## Video                          0.121006403       0.121006403  0.121006403
## Power                         -0.174927857      -0.174927857 -0.174927857
## Satellite                     -0.060596787      -0.060596787 -0.060596787
## Flat.bed                      -0.077330889      -0.077330889 -0.077330889
## Sleeper                       -0.060596787      -0.060596787 -0.060596787
## Club                           1.000000000       1.000000000  1.000000000
## First.Class                    0.139211512       0.139211512  0.139211512
## Business                       0.192186640       0.192186640  0.192186640
## Eco.Comfort                   -0.425905328      -0.425905328 -0.425905328
## Economy                       -1.000000000      -1.000000000 -1.000000000
##                          Seat.Width..First.Class. Seat.Pitch..First.Class.
## Seat.Width..Club.                      0.12018962               0.14277142
## Seat.Pitch..Club.                      0.12018962               0.14277142
## Seat..Club.                            0.12018962               0.14277142
## Seat.Width..First.Class.               1.00000000               0.97633377
## Seat.Pitch..First.Class.               0.97633377               1.00000000
## Seats..First.Class.                    0.84687897               0.90229994
## Seat.Width..Business.                 -0.77218456              -0.75295326
## Seat.Pitch..Business.                 -0.76917955              -0.75144541
## Seats..Business.                      -0.77769057              -0.76296454
## Seat.Width..Eco.Comfort.               0.24286049               0.23187940
## Seat.Pitch..Eco.Comfort.               0.23962601               0.22747485
## Seats..Eco.Comfort.                   -0.35857861              -0.31835430
## Seat.Width..Economy.                  -0.17199405              -0.18488081
## Seat.Pitch..Economy.                  -0.11425004              -0.13166948
## Seats..Economy.                       -0.30368233              -0.28634397
## Accommodation                         -0.33566056              -0.30416151
## Cruising.Speed..mph.                   0.03378285               0.03111943
## Range..miles.                         -0.57311694              -0.51121529
## Engines                               -0.17453563              -0.17191574
## Wingspan..ft.                         -0.45215524              -0.40917135
## Tail.Height..ft.                      -0.36247777              -0.32056476
## Length..ft.                           -0.41007202              -0.35721700
## Wifi                                   0.81720666               0.74607635
## Video                                 -0.31290648              -0.25647372
## Power                                 -0.40642695              -0.35815000
## Satellite                              0.20497375               0.19093770
## Flat.bed                              -0.58037079              -0.57165909
## Sleeper                               -0.33272623              -0.24296221
## Club                                   0.12018962               0.14277142
## First.Class                            0.96066651               0.88782293
## Business                              -0.73192575              -0.65373025
## Eco.Comfort                            0.27139970               0.25587450
## Economy                               -0.12018962              -0.14277142
##                          Seats..First.Class. Seat.Width..Business.
## Seat.Width..Club.                 0.24927719             0.2054039
## Seat.Pitch..Club.                 0.24927719             0.2054039
## Seat..Club.                       0.24927719             0.2054039
## Seat.Width..First.Class.          0.84687897            -0.7721846
## Seat.Pitch..First.Class.          0.90229994            -0.7529533
## Seats..First.Class.               1.00000000            -0.6207024
## Seat.Width..Business.            -0.62070240             1.0000000
## Seat.Pitch..Business.            -0.62677718             0.9767533
## Seats..Business.                 -0.65284014             0.9404945
## Seat.Width..Eco.Comfort.          0.14422148             0.1454650
## Seat.Pitch..Eco.Comfort.          0.14468674             0.1520711
## Seats..Eco.Comfort.              -0.18653504             0.6338926
## Seat.Width..Economy.             -0.28619396            -0.1447697
## Seat.Pitch..Economy.             -0.22975971            -0.2070180
## Seats..Economy.                  -0.09284326             0.4806972
## Accommodation                    -0.09863473             0.5775328
## Cruising.Speed..mph.              0.01117762             0.3264156
## Range..miles.                    -0.34276412             0.7939294
## Engines                          -0.15060497             0.1977706
## Wingspan..ft.                    -0.21918186             0.7325815
## Tail.Height..ft.                 -0.12040065             0.6950949
## Length..ft.                      -0.15303993             0.6736568
## Wifi                              0.60313708            -0.5770885
## Video                            -0.01192149             0.5993794
## Power                            -0.25625513             0.5620558
## Satellite                         0.25259580            -0.1609255
## Flat.bed                         -0.50079589             0.6801945
## Sleeper                          -0.16914897             0.3727807
## Club                              0.24927719             0.2054039
## First.Class                       0.74765284            -0.7315094
## Business                         -0.50388154             0.9519556
## Eco.Comfort                       0.16583154             0.1199173
## Economy                          -0.24927719            -0.2054039
##                          Seat.Pitch..Business. Seats..Business.
## Seat.Width..Club.                   0.14721292       0.01954518
## Seat.Pitch..Club.                   0.14721292       0.01954518
## Seat..Club.                         0.14721292       0.01954518
## Seat.Width..First.Class.           -0.76917955      -0.77769057
## Seat.Pitch..First.Class.           -0.75144541      -0.76296454
## Seats..First.Class.                -0.62677718      -0.65284014
## Seat.Width..Business.               0.97675331       0.94049449
## Seat.Pitch..Business.               1.00000000       0.96219051
## Seats..Business.                    0.96219051       1.00000000
## Seat.Width..Eco.Comfort.            0.17129491       0.22462271
## Seat.Pitch..Eco.Comfort.            0.17621810       0.22845227
## Seats..Eco.Comfort.                 0.66914169       0.72180091
## Seat.Width..Economy.               -0.07956787       0.04823223
## Seat.Pitch..Economy.               -0.14765247      -0.02035739
## Seats..Economy.                     0.52831077       0.60302615
## Accommodation                       0.62067436       0.68593677
## Cruising.Speed..mph.                0.34341172       0.38646871
## Range..miles.                       0.83507441       0.86726517
## Engines                             0.24843899       0.33060460
## Wingspan..ft.                       0.76482828       0.81609214
## Tail.Height..ft.                    0.72218100       0.75161535
## Length..ft.                         0.71210533       0.76036356
## Wifi                               -0.64525169      -0.66226390
## Video                               0.58512895       0.56475369
## Power                               0.56473160       0.58193641
## Satellite                          -0.22038719      -0.17951261
## Flat.bed                            0.75424336       0.79511706
## Sleeper                             0.34430965       0.27342262
## Club                                0.14721292       0.01954518
## First.Class                        -0.73007262      -0.74132742
## Business                            0.92932245       0.89696175
## Eco.Comfort                         0.14209869       0.19469457
## Economy                            -0.14721292      -0.01954518
##                          Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort.
## Seat.Width..Club.                      -0.4247536              -0.42546195
## Seat.Pitch..Club.                      -0.4247536              -0.42546195
## Seat..Club.                            -0.4247536              -0.42546195
## Seat.Width..First.Class.                0.2428605               0.23962601
## Seat.Pitch..First.Class.                0.2318794               0.22747485
## Seats..First.Class.                     0.1442215               0.14468674
## Seat.Width..Business.                   0.1454650               0.15207108
## Seat.Pitch..Business.                   0.1712949               0.17621810
## Seats..Business.                        0.2246227               0.22845227
## Seat.Width..Eco.Comfort.                1.0000000               0.99769633
## Seat.Pitch..Eco.Comfort.                0.9976963               1.00000000
## Seats..Eco.Comfort.                     0.7026452               0.71090705
## Seat.Width..Economy.                    0.4438196               0.43618531
## Seat.Pitch..Economy.                    0.4316507               0.43083639
## Seats..Economy.                         0.5777214               0.58916477
## Accommodation                           0.5861524               0.59631822
## Cruising.Speed..mph.                    0.5443377               0.54489403
## Range..miles.                           0.3823560               0.39141401
## Engines                                 0.0419327               0.06150305
## Wingspan..ft.                           0.4989655               0.50662409
## Tail.Height..ft.                        0.5472883               0.55886048
## Length..ft.                             0.5598451               0.56509548
## Wifi                                    0.2345934               0.23028706
## Video                                   0.3041789               0.32514685
## Power                                   0.4362354               0.42494408
## Satellite                               0.1257589               0.12400282
## Flat.bed                                0.2096094               0.20965221
## Sleeper                                 0.1528603               0.16025614
## Club                                   -0.4247536              -0.42546195
## First.Class                             0.2208177               0.21484066
## Business                                0.1642068               0.17096946
## Eco.Comfort                             0.9972957               0.99895897
## Economy                                 0.4247536               0.42546195
##                          Seats..Eco.Comfort. Seat.Width..Economy.
## Seat.Width..Club.                -0.29298151         -0.986824851
## Seat.Pitch..Club.                -0.29298151         -0.986824851
## Seat..Club.                      -0.29298151         -0.986824851
## Seat.Width..First.Class.         -0.35857861         -0.171994053
## Seat.Pitch..First.Class.         -0.31835430         -0.184880813
## Seats..First.Class.              -0.18653504         -0.286193963
## Seat.Width..Business.             0.63389261         -0.144769743
## Seat.Pitch..Business.             0.66914169         -0.079567873
## Seats..Business.                  0.72180091          0.048232227
## Seat.Width..Eco.Comfort.          0.70264519          0.443819604
## Seat.Pitch..Eco.Comfort.          0.71090705          0.436185307
## Seats..Eco.Comfort.               1.00000000          0.333286132
## Seat.Width..Economy.              0.33328613          1.000000000
## Seat.Pitch..Economy.              0.30021542          0.986044327
## Seats..Economy.                   0.88404077          0.353394224
## Accommodation                     0.92647896          0.260863177
## Cruising.Speed..mph.              0.52963864         -0.007748519
## Range..miles.                     0.85183585          0.108077451
## Engines                           0.29552917         -0.002730705
## Wingspan..ft.                     0.90483053          0.126881843
## Tail.Height..ft.                  0.92211679          0.089463636
## Length..ft.                       0.91127066          0.199490353
## Wifi                             -0.34877166         -0.190964111
## Video                             0.69244171         -0.111877887
## Power                             0.70099271          0.234235225
## Satellite                         0.06417076          0.027670589
## Flat.bed                          0.57889052          0.138893706
## Sleeper                           0.37451382          0.084818827
## Club                             -0.29298151         -0.986824851
## First.Class                      -0.39765852         -0.189149590
## Business                          0.67567651         -0.128036700
## Eco.Comfort                       0.68790289          0.433602682
## Economy                           0.29298151          0.986824851
##                          Seat.Pitch..Economy. Seats..Economy.
## Seat.Width..Club.                -0.995580910     -0.33510870
## Seat.Pitch..Club.                -0.995580910     -0.33510870
## Seat..Club.                      -0.995580910     -0.33510870
## Seat.Width..First.Class.         -0.114250041     -0.30368233
## Seat.Pitch..First.Class.         -0.131669478     -0.28634397
## Seats..First.Class.              -0.229759708     -0.09284326
## Seat.Width..Business.            -0.207017997      0.48069719
## Seat.Pitch..Business.            -0.147652472      0.52831077
## Seats..Business.                 -0.020357390      0.60302615
## Seat.Width..Eco.Comfort.          0.431650724      0.57772138
## Seat.Pitch..Eco.Comfort.          0.430836389      0.58916477
## Seats..Eco.Comfort.               0.300215416      0.88404077
## Seat.Width..Economy.              0.986044327      0.35339422
## Seat.Pitch..Economy.              1.000000000      0.33434130
## Seats..Economy.                   0.334341299      1.00000000
## Accommodation                     0.233844423      0.98199346
## Cruising.Speed..mph.             -0.014094874      0.46021615
## Range..miles.                     0.060512980      0.70285788
## Engines                           0.002976326      0.40406885
## Wingspan..ft.                     0.073465826      0.87643795
## Tail.Height..ft.                  0.051855997      0.85737619
## Length..ft.                       0.161325052      0.90959485
## Wifi                             -0.130295931     -0.31530922
## Video                            -0.125715090      0.62351880
## Power                             0.170145890      0.62250640
## Satellite                         0.050409437      0.11902593
## Flat.bed                          0.082474683      0.51380579
## Sleeper                           0.050409437      0.23126642
## Club                             -0.995580910     -0.33510870
## First.Class                      -0.135405915     -0.31392640
## Business                         -0.189939103      0.48792355
## Eco.Comfort                       0.431173965      0.57078222
## Economy                           0.995580910      0.33510870
##                          Accommodation Cruising.Speed..mph. Range..miles.
## Seat.Width..Club.          -0.22994210          0.006851511   -0.05066280
## Seat.Pitch..Club.          -0.22994210          0.006851511   -0.05066280
## Seat..Club.                -0.22994210          0.006851511   -0.05066280
## Seat.Width..First.Class.   -0.33566056          0.033782849   -0.57311694
## Seat.Pitch..First.Class.   -0.30416151          0.031119434   -0.51121529
## Seats..First.Class.        -0.09863473          0.011177620   -0.34276412
## Seat.Width..Business.       0.57753282          0.326415570    0.79392941
## Seat.Pitch..Business.       0.62067436          0.343411717    0.83507441
## Seats..Business.            0.68593677          0.386468707    0.86726517
## Seat.Width..Eco.Comfort.    0.58615242          0.544337686    0.38235599
## Seat.Pitch..Eco.Comfort.    0.59631822          0.544894032    0.39141401
## Seats..Eco.Comfort.         0.92647896          0.529638637    0.85183585
## Seat.Width..Economy.        0.26086318         -0.007748519    0.10807745
## Seat.Pitch..Economy.        0.23384442         -0.014094874    0.06051298
## Seats..Economy.             0.98199346          0.460216147    0.70285788
## Accommodation               1.00000000          0.503419407    0.78750293
## Cruising.Speed..mph.        0.50341941          1.000000000    0.47779159
## Range..miles.               0.78750293          0.477791587    1.00000000
## Engines                     0.39487947          0.269238987    0.23621705
## Wingspan..ft.               0.93170753          0.522158584    0.90631379
## Tail.Height..ft.            0.91688030          0.546410586    0.89713978
## Length..ft.                 0.95775629          0.522101144    0.84308348
## Wifi                       -0.35059085          0.031379918   -0.61929095
## Video                       0.67736588          0.345396218    0.72669698
## Power                       0.64075513          0.249741394    0.61071136
## Satellite                   0.06657237          0.017852720   -0.10912352
## Flat.bed                    0.56530235          0.313615585    0.72259350
## Sleeper                     0.27050293          0.085737135    0.36407182
## Club                       -0.22994210          0.006851511   -0.05066280
## First.Class                -0.35369673          0.029165364   -0.62123720
## Business                    0.59540491          0.324425456    0.83752890
## Eco.Comfort                 0.57451604          0.537065239    0.35786190
## Economy                     0.22994210         -0.006851511    0.05066280
##                               Engines Wingspan..ft. Tail.Height..ft.
## Seat.Width..Club.        -0.023255814   -0.07399818      -0.05014251
## Seat.Pitch..Club.        -0.023255814   -0.07399818      -0.05014251
## Seat..Club.              -0.023255814   -0.07399818      -0.05014251
## Seat.Width..First.Class. -0.174535626   -0.45215524      -0.36247777
## Seat.Pitch..First.Class. -0.171915744   -0.40917135      -0.32056476
## Seats..First.Class.      -0.150604968   -0.21918186      -0.12040065
## Seat.Width..Business.     0.197770629    0.73258149       0.69509486
## Seat.Pitch..Business.     0.248438994    0.76482828       0.72218100
## Seats..Business.          0.330604602    0.81609214       0.75161535
## Seat.Width..Eco.Comfort.  0.041932698    0.49896554       0.54728827
## Seat.Pitch..Eco.Comfort.  0.061503046    0.50662409       0.55886048
## Seats..Eco.Comfort.       0.295529172    0.90483053       0.92211679
## Seat.Width..Economy.     -0.002730705    0.12688184       0.08946364
## Seat.Pitch..Economy.      0.002976326    0.07346583       0.05185600
## Seats..Economy.           0.404068845    0.87643795       0.85737619
## Accommodation             0.394879471    0.93170753       0.91688030
## Cruising.Speed..mph.      0.269238987    0.52215858       0.54641059
## Range..miles.             0.236217055    0.90631379       0.89713978
## Engines                   1.000000000    0.29524826       0.25086639
## Wingspan..ft.             0.295248262    1.00000000       0.96993962
## Tail.Height..ft.          0.250866391    0.96993962       1.00000000
## Length..ft.               0.313493567    0.93888730       0.90711504
## Wifi                     -0.174927857   -0.47392341      -0.39260483
## Video                     0.121006403    0.71435766       0.78391557
## Power                     0.132945171    0.65303782       0.63476161
## Satellite                -0.060596787    0.01035839       0.09033521
## Flat.bed                  0.300731236    0.65284062       0.59932679
## Sleeper                  -0.060596787    0.32655950       0.33400052
## Club                     -0.023255814   -0.07399818      -0.05014251
## First.Class              -0.167053814   -0.47433819      -0.39779692
## Business                  0.192186640    0.75128673       0.72395209
## Eco.Comfort               0.054603247    0.47793716       0.53368282
## Economy                   0.023255814    0.07399818       0.05014251
##                          Length..ft.        Wifi       Video      Power
## Seat.Width..Club.        -0.14908569  0.13294517  0.12100640 -0.1749279
## Seat.Pitch..Club.        -0.14908569  0.13294517  0.12100640 -0.1749279
## Seat..Club.              -0.14908569  0.13294517  0.12100640 -0.1749279
## Seat.Width..First.Class. -0.41007202  0.81720666 -0.31290648 -0.4064270
## Seat.Pitch..First.Class. -0.35721700  0.74607635 -0.25647372 -0.3581500
## Seats..First.Class.      -0.15303993  0.60313708 -0.01192149 -0.2562551
## Seat.Width..Business.     0.67365681 -0.57708847  0.59937942  0.5620558
## Seat.Pitch..Business.     0.71210533 -0.64525169  0.58512895  0.5647316
## Seats..Business.          0.76036356 -0.66226390  0.56475369  0.5819364
## Seat.Width..Eco.Comfort.  0.55984507  0.23459341  0.30417887  0.4362354
## Seat.Pitch..Eco.Comfort.  0.56509548  0.23028706  0.32514685  0.4249441
## Seats..Eco.Comfort.       0.91127066 -0.34877166  0.69244171  0.7009927
## Seat.Width..Economy.      0.19949035 -0.19096411 -0.11187789  0.2342352
## Seat.Pitch..Economy.      0.16132505 -0.13029593 -0.12571509  0.1701459
## Seats..Economy.           0.90959485 -0.31530922  0.62351880  0.6225064
## Accommodation             0.95775629 -0.35059085  0.67736588  0.6407551
## Cruising.Speed..mph.      0.52210114  0.03137992  0.34539622  0.2497414
## Range..miles.             0.84308348 -0.61929095  0.72669698  0.6107114
## Engines                   0.31349357 -0.17492786  0.12100640  0.1329452
## Wingspan..ft.             0.93888730 -0.47392341  0.71435766  0.6530378
## Tail.Height..ft.          0.90711504 -0.39260483  0.78391557  0.6347616
## Length..ft.               1.00000000 -0.43011540  0.65720554  0.6438905
## Wifi                     -0.43011540  1.00000000 -0.31482136 -0.2968421
## Video                     0.65720554 -0.31482136  1.00000000  0.6275011
## Power                     0.64389049 -0.29684211  0.62750107  1.0000000
## Satellite                -0.05610388  0.34641016  0.31530177  0.3464102
## Flat.bed                  0.62249330 -0.58167505  0.40237391  0.4420730
## Sleeper                   0.32227890 -0.32210068  0.31530177  0.3464102
## Club                     -0.14908569  0.13294517  0.12100640 -0.1749279
## First.Class              -0.43395083  0.86283905 -0.34939516 -0.4272310
## Business                  0.70341124 -0.62750107  0.62962963  0.5975181
## Eco.Comfort               0.53837068  0.26614659  0.30417096  0.4107200
## Economy                   0.14908569 -0.13294517 -0.12100640  0.1749279
##                            Satellite    Flat.bed     Sleeper         Club
## Seat.Width..Club.        -0.06059679 -0.07733089 -0.06059679  1.000000000
## Seat.Pitch..Club.        -0.06059679 -0.07733089 -0.06059679  1.000000000
## Seat..Club.              -0.06059679 -0.07733089 -0.06059679  1.000000000
## Seat.Width..First.Class.  0.20497375 -0.58037079 -0.33272623  0.120189617
## Seat.Pitch..First.Class.  0.19093770 -0.57165909 -0.24296221  0.142771421
## Seats..First.Class.       0.25259580 -0.50079589 -0.16914897  0.249277189
## Seat.Width..Business.    -0.16092555  0.68019453  0.37278072  0.205403882
## Seat.Pitch..Business.    -0.22038719  0.75424336  0.34430965  0.147212920
## Seats..Business.         -0.17951261  0.79511706  0.27342262  0.019545178
## Seat.Width..Eco.Comfort.  0.12575892  0.20960936  0.15286028 -0.424753564
## Seat.Pitch..Eco.Comfort.  0.12400282  0.20965221  0.16025614 -0.425461948
## Seats..Eco.Comfort.       0.06417076  0.57889052  0.37451382 -0.292981507
## Seat.Width..Economy.      0.02767059  0.13889371  0.08481883 -0.986824851
## Seat.Pitch..Economy.      0.05040944  0.08247468  0.05040944 -0.995580910
## Seats..Economy.           0.11902593  0.51380579  0.23126642 -0.335108702
## Accommodation             0.06657237  0.56530235  0.27050293 -0.229942100
## Cruising.Speed..mph.      0.01785272  0.31361559  0.08573713  0.006851511
## Range..miles.            -0.10912352  0.72259350  0.36407182 -0.050662801
## Engines                  -0.06059679  0.30073124 -0.06059679 -0.023255814
## Wingspan..ft.             0.01035839  0.65284062  0.32655950 -0.073998183
## Tail.Height..ft.          0.09033521  0.59932679  0.33400052 -0.050142509
## Length..ft.              -0.05610388  0.62249330  0.32227890 -0.149085694
## Wifi                      0.34641016 -0.58167505 -0.32210068  0.132945171
## Video                     0.31530177  0.40237391  0.31530177  0.121006403
## Power                     0.34641016  0.44207304  0.34641016 -0.174927857
## Satellite                 1.00000000 -0.20149815 -0.15789474 -0.060596787
## Flat.bed                 -0.20149815  1.00000000 -0.20149815 -0.077330889
## Sleeper                  -0.15789474 -0.20149815  1.00000000 -0.060596787
## Club                     -0.06059679 -0.07733089 -0.06059679  1.000000000
## First.Class               0.22973415 -0.55549206 -0.43528575  0.139211512
## Business                 -0.17928924  0.63906444  0.50077340  0.192186640
## Eco.Comfort               0.14227760  0.18156826  0.14227760 -0.425905328
## Economy                   0.06059679  0.07733089  0.06059679 -1.000000000
##                          First.Class   Business Eco.Comfort      Economy
## Seat.Width..Club.         0.13921151  0.1921866 -0.42590533 -1.000000000
## Seat.Pitch..Club.         0.13921151  0.1921866 -0.42590533 -1.000000000
## Seat..Club.               0.13921151  0.1921866 -0.42590533 -1.000000000
## Seat.Width..First.Class.  0.96066651 -0.7319258  0.27139970 -0.120189617
## Seat.Pitch..First.Class.  0.88782293 -0.6537302  0.25587450 -0.142771421
## Seats..First.Class.       0.74765284 -0.5038815  0.16583154 -0.249277189
## Seat.Width..Business.    -0.73150937  0.9519556  0.11991725 -0.205403882
## Seat.Pitch..Business.    -0.73007262  0.9293224  0.14209869 -0.147212920
## Seats..Business.         -0.74132742  0.8969617  0.19469457 -0.019545178
## Seat.Width..Eco.Comfort.  0.22081771  0.1642068  0.99729573  0.424753564
## Seat.Pitch..Eco.Comfort.  0.21484066  0.1709695  0.99895897  0.425461948
## Seats..Eco.Comfort.      -0.39765852  0.6756765  0.68790289  0.292981507
## Seat.Width..Economy.     -0.18914959 -0.1280367  0.43360268  0.986824851
## Seat.Pitch..Economy.     -0.13540591 -0.1899391  0.43117396  0.995580910
## Seats..Economy.          -0.31392640  0.4879236  0.57078222  0.335108702
## Accommodation            -0.35369673  0.5954049  0.57451604  0.229942100
## Cruising.Speed..mph.      0.02916536  0.3244255  0.53706524 -0.006851511
## Range..miles.            -0.62123720  0.8375289  0.35786190  0.050662801
## Engines                  -0.16705381  0.1921866  0.05460325  0.023255814
## Wingspan..ft.            -0.47433819  0.7512867  0.47793716  0.073998183
## Tail.Height..ft.         -0.39779692  0.7239521  0.53368282  0.050142509
## Length..ft.              -0.43395083  0.7034112  0.53837068  0.149085694
## Wifi                      0.86283905 -0.6275011  0.26614659 -0.132945171
## Video                    -0.34939516  0.6296296  0.30417096 -0.121006403
## Power                    -0.42723099  0.5975181  0.41072005  0.174927857
## Satellite                 0.22973415 -0.1792892  0.14227760  0.060596787
## Flat.bed                 -0.55549206  0.6390644  0.18156826  0.077330889
## Sleeper                  -0.43528575  0.5007734  0.14227760  0.060596787
## Club                      0.13921151  0.1921866 -0.42590533 -1.000000000
## First.Class               1.00000000 -0.7754868  0.24841377 -0.139211512
## Business                 -0.77548682  1.0000000  0.13704406 -0.192186640
## Eco.Comfort               0.24841377  0.1370441  1.00000000  0.425905328
## Economy                  -0.13921151 -0.1921866  0.42590533  1.000000000

Les corélations:

On remarque que les colonnes Seat.Width..Club. | Seat.Pitch..Club. | Seat..Club. et Club sont parfaitement corélées positivement aussi Seat.Pitch..Economy. | Seat.Width..Economy. et Sleeper Seats..First.Class. et Seat.Width..First.Class. et First.Class sont corélées avec Seat.Width..First.Class. Seat.Width..First.Class. et Seat.Pitch..First.Class. sont aussi .

delta_1<-scale(delta_1)
boxplot(delta_1)

delta_1<-as.data.frame(delta_1)
plot(delta_1$Seat.Pitch..Economy.,delta_1$Seat.Width..Economy.)

delta_1
##    Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1         -0.1507557        -0.1507557  -0.1507557
## 2          6.4824939         6.4824939   6.4824939
## 3         -0.1507557        -0.1507557  -0.1507557
## 4         -0.1507557        -0.1507557  -0.1507557
## 5         -0.1507557        -0.1507557  -0.1507557
## 6         -0.1507557        -0.1507557  -0.1507557
## 7         -0.1507557        -0.1507557  -0.1507557
## 8         -0.1507557        -0.1507557  -0.1507557
## 9         -0.1507557        -0.1507557  -0.1507557
## 10        -0.1507557        -0.1507557  -0.1507557
## 11        -0.1507557        -0.1507557  -0.1507557
## 12        -0.1507557        -0.1507557  -0.1507557
## 13        -0.1507557        -0.1507557  -0.1507557
## 14        -0.1507557        -0.1507557  -0.1507557
## 15        -0.1507557        -0.1507557  -0.1507557
## 16        -0.1507557        -0.1507557  -0.1507557
## 17        -0.1507557        -0.1507557  -0.1507557
## 18        -0.1507557        -0.1507557  -0.1507557
## 19        -0.1507557        -0.1507557  -0.1507557
## 20        -0.1507557        -0.1507557  -0.1507557
## 21        -0.1507557        -0.1507557  -0.1507557
## 22        -0.1507557        -0.1507557  -0.1507557
## 23        -0.1507557        -0.1507557  -0.1507557
## 24        -0.1507557        -0.1507557  -0.1507557
## 25        -0.1507557        -0.1507557  -0.1507557
## 26        -0.1507557        -0.1507557  -0.1507557
## 27        -0.1507557        -0.1507557  -0.1507557
## 28        -0.1507557        -0.1507557  -0.1507557
## 29        -0.1507557        -0.1507557  -0.1507557
## 30        -0.1507557        -0.1507557  -0.1507557
## 31        -0.1507557        -0.1507557  -0.1507557
## 32        -0.1507557        -0.1507557  -0.1507557
## 33        -0.1507557        -0.1507557  -0.1507557
## 34        -0.1507557        -0.1507557  -0.1507557
## 35        -0.1507557        -0.1507557  -0.1507557
## 36        -0.1507557        -0.1507557  -0.1507557
## 37        -0.1507557        -0.1507557  -0.1507557
## 38        -0.1507557        -0.1507557  -0.1507557
## 39        -0.1507557        -0.1507557  -0.1507557
## 40        -0.1507557        -0.1507557  -0.1507557
## 41        -0.1507557        -0.1507557  -0.1507557
## 42        -0.1507557        -0.1507557  -0.1507557
## 43        -0.1507557        -0.1507557  -0.1507557
## 44        -0.1507557        -0.1507557  -0.1507557
##    Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                 0.9367000                0.7215191           0.1346615
## 2                 0.7791285                0.9255149           1.6159379
## 3                 0.9367000                0.7215191           0.1346615
## 4                 0.9367000                0.7215191           0.1346615
## 5                -1.1314261               -1.1144428          -0.9762958
## 6                -1.1314261               -1.1144428          -0.9762958
## 7                -1.1314261               -1.1144428          -0.9762958
## 8                -1.1314261               -1.1144428          -0.9762958
## 9                 0.7988249                0.7725180           0.1346615
## 10                0.9367000                0.7725180           0.1346615
## 11                0.9367000                0.7725180           0.5049806
## 12                0.9367000                0.8235170           0.5049806
## 13                0.9367000                0.7725180           0.8752997
## 14               -1.1314261               -1.1144428          -0.9762958
## 15                0.9367000                0.9255149           1.2456188
## 16               -1.1314261               -1.1144428          -0.9762958
## 17                0.9367000                0.7725180           1.0604592
## 18                0.9367000                0.7725180           1.0604592
## 19                0.9367000                0.7980175           1.2456188
## 20                0.9367000                1.1805096           1.0604592
## 21               -1.1314261               -1.1144428          -0.9762958
## 22                0.9367000                0.7725180           1.2456188
## 23               -1.1314261               -1.1144428          -0.9762958
## 24               -1.1314261               -1.1144428          -0.9762958
## 25                0.6904945                0.7980175           1.8010974
## 26                0.6904945                0.7980175           1.8010974
## 27               -1.1314261               -1.1144428          -0.9762958
## 28                0.6904945                1.9454937           2.3565760
## 29               -1.1314261               -1.1144428          -0.9762958
## 30               -1.1314261               -1.1144428          -0.9762958
## 31               -1.1314261               -1.1144428          -0.9762958
## 32               -1.1314261               -1.1144428          -0.9762958
## 33               -1.1314261               -1.1144428          -0.9762958
## 34               -1.1314261               -1.1144428          -0.9762958
## 35               -1.1314261               -1.1144428          -0.9762958
## 36                0.7988249                0.7215191          -0.1430778
## 37                0.7988249                0.7725180           0.1346615
## 38               -1.1314261               -1.1144428          -0.9762958
## 39                0.8382178                0.7725180          -0.1430778
## 40                0.8382178                0.7725180           0.1346615
## 41               -1.1314261               -1.1144428          -0.9762958
## 42                0.7988249                0.7725180           0.5049806
## 43                0.7988249                0.7725180           0.5049806
## 44                0.7988249                0.8235170           0.5049806
##    Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1             -0.7467361            -0.7289822       -0.7035977
## 2              1.3315294             0.9543069        0.1267015
## 3             -0.7467361            -0.7289822       -0.7035977
## 4             -0.7467361            -0.7289822       -0.7035977
## 5              1.3315294             0.9828372        1.1942290
## 6              1.3315294             1.5534436        1.3128432
## 7              1.3315294             1.5534436        1.3128432
## 8              1.2325644             0.9828372        1.3128432
## 9             -0.7467361            -0.7289822       -0.7035977
## 10            -0.7467361            -0.7289822       -0.7035977
## 11            -0.7467361            -0.7289822       -0.7035977
## 12            -0.7467361            -0.7289822       -0.7035977
## 13            -0.7467361            -0.7289822       -0.7035977
## 14             1.2820469             1.6105043        2.1431423
## 15            -0.7467361            -0.7289822       -0.7035977
## 16             1.3315294             0.8259204        0.2453157
## 17            -0.7467361            -0.7289822       -0.7035977
## 18            -0.7467361            -0.7289822       -0.7035977
## 19            -0.7467361            -0.7289822       -0.7035977
## 20            -0.7467361            -0.7289822       -0.7035977
## 21             1.3315294             0.3551701        0.8383865
## 22            -0.7467361            -0.7289822       -0.7035977
## 23             1.0841169             0.9828372        1.0756148
## 24             1.3315294             1.5234868        1.4314573
## 25            -0.7467361            -0.7289822       -0.7035977
## 26            -0.7467361            -0.7289822       -0.7035977
## 27             1.3315294             1.5234868        1.4314573
## 28            -0.7467361            -0.7289822       -0.7035977
## 29             1.3315294             1.5234868        0.8383865
## 30             1.3315294             1.5234868        0.8383865
## 31             1.3315294             1.5234868        1.6686857
## 32             1.3315294             1.4963830        1.9652211
## 33             1.3315294             1.4963830        1.9652211
## 34            -0.7467361            -0.7289822       -0.7035977
## 35            -0.7467361            -0.7289822       -0.7035977
## 36            -0.7467361            -0.7289822       -0.7035977
## 37            -0.7467361            -0.7289822       -0.7035977
## 38            -0.7467361            -0.7289822       -0.7035977
## 39            -0.7467361            -0.7289822       -0.7035977
## 40            -0.7467361            -0.7289822       -0.7035977
## 41            -0.7467361            -0.7289822       -0.7035977
## 42            -0.7467361            -0.7289822       -0.7035977
## 43            -0.7467361            -0.7289822       -0.7035977
## 44            -0.7467361            -0.7289822       -0.7035977
##    Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1                 0.2718285                0.3085003        -0.264243594
## 2                -2.7534624               -2.7580545        -1.899250834
## 3                 0.2718285                0.3085003        -0.264243594
## 4                 0.2718285                0.3085003        -0.264243594
## 5                 0.4125397                0.3986931         0.825761232
## 6                 0.4125397                0.3986931         1.007428703
## 7                 0.4125397                0.3986931         1.007428703
## 8                 0.4125397                0.3986931         1.007428703
## 9                 0.4301286                0.3085003        -0.536744801
## 10                0.2718285                0.3085003        -0.264243594
## 11                0.2718285                0.3085003        -0.264243594
## 12                0.2718285                0.3085003        -0.264243594
## 13                0.2718285                0.3085003         0.008257612
## 14                0.2718285                0.3986931         1.915766059
## 15                0.2718285                0.3986931        -0.264243594
## 16                0.2718285                0.3986931         0.371592555
## 17                0.2718285                0.3535967        -0.264243594
## 18                0.2718285                0.3085003        -0.173409859
## 19                0.2718285                0.3535967        -0.082576123
## 20                0.2718285                0.3535967         0.008257612
## 21                0.2718285                0.3085003         0.462426290
## 22                0.2718285                0.3085003         0.189925083
## 23                0.3949508                0.3986931         1.552431117
## 24                0.3949508                0.3986931         1.007428703
## 25                0.3949508                0.3085003         0.644093761
## 26                0.3949508                0.3085003         0.644093761
## 27                0.3949508                0.3986931         0.734927497
## 28                0.3949508                0.3986931         0.916594968
## 29                0.3949508                0.3986931         1.279929910
## 30                0.3949508                0.3986931         0.734927497
## 31                0.3949508                0.3986931         0.644093761
## 32                0.5004842                0.4888859         1.370763646
## 33                0.5004842                0.3986931         1.370763646
## 34               -2.7534624               -2.7580545        -1.899250834
## 35               -2.7534624               -2.7580545        -1.899250834
## 36                0.2894174                0.3085003        -1.172580950
## 37                0.2894174                0.3085003        -0.809246008
## 38               -2.7534624               -2.7580545        -1.899250834
## 39                0.4565119                0.3085003        -0.809246008
## 40                0.4565119                0.3085003        -0.809246008
## 41               -2.7534624               -2.7580545        -1.899250834
## 42                0.4301286                0.3085003        -0.536744801
## 43                0.4301286                0.3085003        -0.536744801
## 44                0.4301286                0.3986931        -0.627578537
##    Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1           -0.01770178           0.01929401    -0.563932641   -0.58491830
## 2           -6.39708609          -6.45384719    -2.172340120   -1.49059826
## 3           -0.01770178           0.23152815    -0.161830771   -0.28302499
## 4           -0.01770178           0.23152815    -0.161830771   -0.28302499
## 5            0.27901377           0.01929401     0.860178148    0.88681162
## 6            0.27901377           0.01929401     0.642372968    0.88681162
## 7            0.27901377           0.01929401     1.630873398    1.51575604
## 8            0.27901377           0.01929401     1.714644621    1.57865048
## 9            0.31610321           0.12541108    -0.781737821   -0.78618052
## 10          -0.01770178           0.01929401    -0.597441130   -0.61007608
## 11          -0.01770178           0.01929401    -0.061305304   -0.61007608
## 12          -0.01770178           0.01929401    -0.061305304   -0.15723610
## 13          -0.01770178           0.01929401     0.156499875    0.09434166
## 14          -0.01770178           0.01929401     2.619373828    2.55980376
## 15          -0.01770178           0.12541108     0.039220163    0.01886833
## 16          -0.01770178           0.01929401     0.005711674   -0.01886833
## 17          -0.01770178           0.12541108     0.190008365    0.10692055
## 18          -0.01770178           0.23152815     0.190008365    0.11949944
## 19          -0.01770178           0.23152815     0.106237142    0.09434166
## 20          -0.01770178           0.33764522     0.039220163    0.03144722
## 21          -0.01770178           0.23152815     0.039220163    0.14465722
## 22          -0.01770178           0.12541108     0.793161169    0.64781275
## 23           0.24192433           0.23152815     0.173254120    0.44655053
## 24           0.24192433           0.23152815     0.223516854    0.48428720
## 25           0.24192433           0.23152815     1.228771528    1.11323161
## 26           0.24192433           0.23152815     1.228771528    1.11323161
## 27           0.24192433           0.23152815     0.223516854    0.44655053
## 28           0.24192433           0.23152815     0.223516854    0.47170831
## 29           0.24192433           0.23152815     0.692635702    0.67297052
## 30           0.24192433           0.23152815     0.692635702    0.67297052
## 31           0.24192433           0.23152815     0.809915414    0.92454829
## 32           0.46446099           0.23152815     0.977457860    1.21386272
## 33           0.46446099           0.23152815     0.977457860    1.21386272
## 34           0.01938766           0.12541108    -1.334627892   -1.54091381
## 35           0.01938766           0.12541108    -1.334627892   -1.54091381
## 36           0.01938766           0.12541108    -1.368136381   -1.35223049
## 37           0.01938766           0.12541108    -1.301119403   -1.21386272
## 38           0.35319266           0.12541108    -1.703221272   -1.81764936
## 39           0.37173738           0.12541108    -1.368136381   -1.30191494
## 40           0.37173738           0.12541108    -1.301119403   -1.21386272
## 41           0.01938766           0.12541108    -1.334627892   -1.54091381
## 42           0.31610321           0.33764522    -0.195339261   -0.29560387
## 43           0.31610321           0.23152815    -0.011042570   -0.15723610
## 44           0.31610321           0.12541108    -0.664458109   -0.66039163
##    Cruising.Speed..mph. Range..miles.    Engines Wingspan..ft.
## 1            0.04441488   -0.64377263 -0.1507557   -0.47969277
## 2            0.04441488   -0.32842130 -0.1507557   -0.47969277
## 3            0.04441488   -0.63457489 -0.1507557   -0.47969277
## 4            0.04441488   -0.63457489 -0.1507557   -0.47969277
## 5            0.55107345    1.16818359 -0.1507557    1.55502951
## 6            0.55107345    1.16818359 -0.1507557    1.55502951
## 7            0.55107345    0.64566395 -0.1507557    1.55502951
## 8            0.55107345    0.64566395 -0.1507557    1.55502951
## 9           -0.42605380   -1.03314394 -0.1507557   -0.91739465
## 10           0.04441488   -0.41339096 -0.1507557   -0.34753046
## 11           0.04441488   -0.41339096 -0.1507557   -0.34753046
## 12           0.04441488   -0.44624006 -0.1507557   -0.34753046
## 13           0.04441488   -0.43748030 -0.1507557   -0.34753046
## 14           1.74534009    1.53127562  6.4824939    1.91394506
## 15           0.04441488    0.20811396 -0.1507557    0.06258438
## 16           0.04441488    0.36622762 -0.1507557    0.06258438
## 17           0.04441488   -0.44448811 -0.1507557    0.06258438
## 18           0.04441488   -0.44448811 -0.1507557    0.06258438
## 19           0.04441488   -0.20841259 -0.1507557   -0.47969277
## 20           0.04441488   -0.04591906 -0.1507557    0.06258438
## 21           0.04441488   -0.04591906 -0.1507557    0.06258438
## 22           0.04441488   -0.28068061 -0.1507557   -0.17211847
## 23           0.04441488    1.11212113 -0.1507557    0.56731380
## 24           0.04441488    1.11212113 -0.1507557    0.56731380
## 25           0.04441488   -0.15497806 -0.1507557    0.56731380
## 26           0.04441488   -0.15497806 -0.1507557    0.56731380
## 27           0.04441488    1.21373434 -0.1507557    0.56731380
## 28           0.04441488    1.11212113 -0.1507557    0.56731380
## 29           0.04441488    1.03021738 -0.1507557    0.56731380
## 30           0.04441488    1.03021738 -0.1507557    0.56731380
## 31           0.04441488    1.08058600 -0.1507557    0.92024348
## 32           1.23868152    2.04678746 -0.1507557    1.90407902
## 33           1.23868152    2.84961940 -0.1507557    1.90407902
## 34          -1.00509217   -1.14045099 -0.1507557   -1.47923826
## 35          -1.00509217   -1.14045099 -0.1507557   -1.47923826
## 36          -0.02796492   -0.97182562 -0.1507557   -1.32149996
## 37          -0.02796492   -0.93065475 -0.1507557   -1.19532352
## 38          -5.49263956   -1.29155684 -0.1507557   -1.58965743
## 39           1.05773203   -0.90612743 -0.1507557   -1.10463642
## 40           1.05773203   -0.90612743 -0.1507557   -1.10463642
## 41           0.04441488   -1.03927577 -0.1507557   -1.56992536
## 42          -0.64319319   -1.03314394 -0.1507557   -0.57433101
## 43          -0.64319319   -0.82203374 -0.1507557   -0.57433101
## 44          -0.42605380   -1.37433657 -0.1507557   -0.90556487
##    Tail.Height..ft. Length..ft.       Wifi      Video      Power
## 1        -0.3250485 -0.96644710  0.8618163 -1.2458487 -1.1339688
## 2        -0.3250485 -0.96644710  0.8618163  0.7844233 -1.1339688
## 3        -0.3250485 -0.66243590  0.8618163 -1.2458487 -1.1339688
## 4        -0.3250485 -0.66243590  0.8618163 -1.2458487 -1.1339688
## 5         1.4053958  0.96110801 -1.1339688  0.7844233  0.8618163
## 6         1.4053958  0.96110801 -1.1339688  0.7844233  0.8618163
## 7         1.1203412  1.46142359 -1.1339688  0.7844233  0.8618163
## 8         1.1203412  1.46142359 -1.1339688  0.7844233  0.8618163
## 9        -1.0987681 -0.74309193  0.8618163 -1.2458487  0.8618163
## 10       -0.1145968 -0.98307466  0.8618163  0.7844233  0.8618163
## 11       -0.1145968 -0.98307466  0.8618163  0.7844233  0.8618163
## 12       -0.1145968 -0.50732814  0.8618163  0.7844233  0.8618163
## 13       -0.1145968 -0.29223711  0.8618163  0.7844233  0.8618163
## 14        1.6262399  2.03222014 -1.1339688  0.7844233  0.8618163
## 15        0.1568567  0.13171582 -1.1339688  0.7844233 -1.1339688
## 16        0.1568567  0.13171582  0.8618163  0.7844233  0.8618163
## 17        0.1568567  0.13171582  0.8618163 -1.2458487 -1.1339688
## 18        0.1568567  0.13171582  0.8618163 -1.2458487 -1.1339688
## 19       -0.3250485 -0.66243590  0.8618163  0.7844233 -1.1339688
## 20        0.1568567  0.13171582  0.8618163  0.7844233 -1.1339688
## 21        0.1568567  0.13171582  0.8618163  0.7844233  0.8618163
## 22        0.2043386  0.68181478  0.8618163  0.7844233 -1.1339688
## 23        0.7676880  0.75214684 -1.1339688  0.7844233  0.8618163
## 24        0.7676880  0.75214684 -1.1339688  0.7844233  0.8618163
## 25        0.7676880  0.75214684  0.8618163  0.7844233  0.8618163
## 26        0.7676880  0.75214684  0.8618163  0.7844233  0.8618163
## 27        0.7676880  0.75214684 -1.1339688  0.7844233  0.8618163
## 28        0.7676880  0.75214684 -1.1339688  0.7844233  0.8618163
## 29        0.7676880  0.75214684 -1.1339688  0.7844233  0.8618163
## 30        0.7676880  0.75214684 -1.1339688  0.7844233  0.8618163
## 31        1.0052606  1.27529429 -1.1339688  0.7844233  0.8618163
## 32        1.5275621  1.46770236 -1.1339688  0.7844233  0.8618163
## 33        1.5275621  1.46770236 -1.1339688  0.7844233  0.8618163
## 34       -1.8046448 -1.54146258 -1.1339688 -1.2458487 -1.1339688
## 35       -1.8046448 -1.54146258 -1.1339688 -1.2458487 -1.1339688
## 36       -1.4451502 -1.08847348  0.8618163 -1.2458487 -1.1339688
## 37       -1.4652669 -0.76999382  0.8618163 -1.2458487 -1.1339688
## 38       -1.7709269 -2.09357174 -1.1339688 -1.2458487 -1.1339688
## 39       -0.8343189 -1.28701141  0.8618163 -1.2458487 -1.1339688
## 40       -0.8680368 -1.14225244  0.8618163 -1.2458487 -1.1339688
## 41       -1.6620360 -1.28907124 -1.1339688 -1.2458487 -1.1339688
## 42       -0.9833618 -0.05242811  0.8618163 -1.2458487  0.8618163
## 43       -0.9766019  0.06552823  0.8618163 -1.2458487  0.8618163
## 44       -1.2276943 -0.40805918  0.8618163 -1.2458487 -1.1339688
##     Satellite  Flat.bed    Sleeper       Club First.Class   Business
## 1  -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 2  -0.3928183 -0.501297 -0.3928183  6.4824939   0.9024378  1.2458487
## 3  -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 4  -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 5  -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 6  -0.3928183 -0.501297  2.4878493 -0.1507557  -1.0829253  1.2458487
## 7  -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 8  -0.3928183 -0.501297  2.4878493 -0.1507557  -1.0829253  1.2458487
## 9  -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 10  2.4878493 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 11  2.4878493 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 12  2.4878493 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 13 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 14 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 15 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 16 -0.3928183 -0.501297  2.4878493 -0.1507557  -1.0829253  1.2458487
## 17 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 18 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 19 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 20 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 21  2.4878493 -0.501297 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 22 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 23 -0.3928183 -0.501297  2.4878493 -0.1507557  -1.0829253  1.2458487
## 24 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 25  2.4878493 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 26  2.4878493 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 27 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 28 -0.3928183 -0.501297  2.4878493 -0.1507557  -1.0829253  1.2458487
## 29 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 30 -0.3928183 -0.501297  2.4878493 -0.1507557  -1.0829253  1.2458487
## 31 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 32 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 33 -0.3928183  1.949488 -0.3928183 -0.1507557  -1.0829253  1.2458487
## 34 -0.3928183 -0.501297 -0.3928183 -0.1507557  -1.0829253 -0.7844233
## 35 -0.3928183 -0.501297 -0.3928183 -0.1507557  -1.0829253 -0.7844233
## 36 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 37 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 38 -0.3928183 -0.501297 -0.3928183 -0.1507557  -1.0829253 -0.7844233
## 39 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 40 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 41 -0.3928183 -0.501297 -0.3928183 -0.1507557  -1.0829253 -0.7844233
## 42 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 43 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
## 44 -0.3928183 -0.501297 -0.3928183 -0.1507557   0.9024378 -0.7844233
##    Eco.Comfort    Economy
## 1    0.3539652  0.1507557
## 2   -2.7609287 -6.4824939
## 3    0.3539652  0.1507557
## 4    0.3539652  0.1507557
## 5    0.3539652  0.1507557
## 6    0.3539652  0.1507557
## 7    0.3539652  0.1507557
## 8    0.3539652  0.1507557
## 9    0.3539652  0.1507557
## 10   0.3539652  0.1507557
## 11   0.3539652  0.1507557
## 12   0.3539652  0.1507557
## 13   0.3539652  0.1507557
## 14   0.3539652  0.1507557
## 15   0.3539652  0.1507557
## 16   0.3539652  0.1507557
## 17   0.3539652  0.1507557
## 18   0.3539652  0.1507557
## 19   0.3539652  0.1507557
## 20   0.3539652  0.1507557
## 21   0.3539652  0.1507557
## 22   0.3539652  0.1507557
## 23   0.3539652  0.1507557
## 24   0.3539652  0.1507557
## 25   0.3539652  0.1507557
## 26   0.3539652  0.1507557
## 27   0.3539652  0.1507557
## 28   0.3539652  0.1507557
## 29   0.3539652  0.1507557
## 30   0.3539652  0.1507557
## 31   0.3539652  0.1507557
## 32   0.3539652  0.1507557
## 33   0.3539652  0.1507557
## 34  -2.7609287  0.1507557
## 35  -2.7609287  0.1507557
## 36   0.3539652  0.1507557
## 37   0.3539652  0.1507557
## 38  -2.7609287  0.1507557
## 39   0.3539652  0.1507557
## 40   0.3539652  0.1507557
## 41  -2.7609287  0.1507557
## 42   0.3539652  0.1507557
## 43   0.3539652  0.1507557
## 44   0.3539652  0.1507557
library(ggplot2)          

ggplot(delta, aes(delta_1$Seat.Pitch..Economy,delta_1$Seat.Width..Economy)) + geom_point() + scale_x_continuous("Seat.Pitch", breaks = seq(0,18.5))+ scale_y_continuous("Seat.Width", breaks = seq(0,by = 32))+ theme_bw() 

range(delta_1$Seat.Pitch..Economy)
## [1] -6.4538472  0.3376452
range(delta_1$Seat.Width..Economy)
## [1] -6.397086  0.464461

Pour la classe economique plus le Seat width est important plus le seat pitch est important aussi ce sont deux variables fortement corélées.

boxplot(delta_1[,],col=c("#75FF33","#DBFF33","#FF5733"))

Ce graphe nous permet de visualizer la répartition des caractéristiques des avions dans notre data set.

delta_2<-delta
ggplot(delta_2, aes(delta_2$Length..ft., fill = delta_2$Range..miles)) + geom_bar()+
  labs(title = "Range by aircraft", x = "Aircraft length", y = "Count ")

Segmentation:

Kmeans Clustering:

dataSeg<-data
dataSeg$Aircraft<-NULL
dataSeg<- scale(dataSeg)

wss <- (nrow(dataSeg)-1)*sum(apply(dataSeg,2,var))
for (i in 2:15) wss[i] <- sum(kmeans(dataSeg,centers=i)$withinss)
plot(1:15, wss, type="b", xlab="Number of Clusters", ylab="Within groups sum of squares")

Cette Méthode nous permet de préciser le nombre optimale des clusters ainsi dans notre cas c’est 2 là ou il y a une différence dans la courbe. On utilise cette résultat et on applique K-means cluestering :

dataSeg_1 <- kmeans(dataSeg, 2)
aggregate(dataSeg,by=list(dataSeg_1$cluster),FUN=mean)
##   Group.1 Seat.Width..Club. Seat.Pitch..Club. Seat..Club.
## 1       1        0.07797707        0.07797707  0.07797707
## 2       2       -0.15075567       -0.15075567 -0.15075567
##   Seat.Width..First.Class. Seat.Pitch..First.Class. Seats..First.Class.
## 1                0.5852204                0.5764359           0.5049806
## 2               -1.1314261               -1.1144428          -0.9762958
##   Seat.Width..Business. Seat.Pitch..Business. Seats..Business.
## 1            -0.6750718            -0.6709377       -0.6749667
## 2             1.3051387             1.2971462        1.3049355
##   Seat.Width..Eco.Comfort. Seat.Pitch..Eco.Comfort. Seats..Eco.Comfort.
## 1               -0.2012523               -0.2062206          -0.5273482
## 2                0.3890878                0.3986931           1.0195399
##   Seat.Width..Economy. Seat.Pitch..Economy. Seats..Economy. Accommodation
## 1           -0.1187385          -0.07584543      -0.4235436    -0.4699733
## 2            0.2295612           0.14663450       0.8188510     0.9086150
##   Cruising.Speed..mph. Range..miles.    Engines Wingspan..ft.
## 1           -0.2338730    -0.5846443 -0.1507557    -0.5456622
## 2            0.4521544     1.1303122  0.2914610     1.0549468
##   Tail.Height..ft. Length..ft.       Wifi      Video      Power  Satellite
## 1       -0.5134570  -0.5211086  0.4488952 -0.4057362 -0.4457670  0.1038485
## 2        0.9926835   1.0074765 -0.8678641  0.7844233  0.8618163 -0.2007738
##     Flat.bed    Sleeper        Club First.Class   Business Eco.Comfort
## 1 -0.5012970 -0.2934849  0.07797707   0.5601338 -0.6444045  -0.1830855
## 2  0.9691742  0.5674042 -0.15075567  -1.0829253  1.2458487   0.3539652
##       Economy
## 1 -0.07797707
## 2  0.15075567
dataSeg <- data.frame(dataSeg, dataSeg_1$cluster)
library(cluster)
clusplot(dataSeg, dataSeg_1$cluster, color=TRUE, shade=TRUE,labels=2, lines=0)

Cette segmentation décrit notre data ser avec un pourcentage de 66.61 des points représentatifs.

Model Based Clustering:

library(mclust)
## Package 'mclust' version 5.4.1
## Type 'citation("mclust")' for citing this R package in publications.
data_mc<-data
data_mc$Aircraft<-NULL
data_mc <- Mclust(data)

#plot(data_mc)
summary(data_mc)
## ---------------------------------------------------- 
## Gaussian finite mixture model fitted by EM algorithm 
## ---------------------------------------------------- 
## 
## Mclust XXX (ellipsoidal multivariate normal) model with 1 component: 
## 
##  log.likelihood  n  df      BIC      ICL
##        5729.813 44 629 9079.371 9079.371
## 
## Clustering table:
##  1 
## 44

de meme pour cette méthode qui nous renvois les clusters selon le Model based Clustering on a eu 2 clusters. #CAH

data_h<-data
data_h$Aircraft<-NULL
data_h1 <- dist(data_h, method = "euclidean")
data_h2 <- hclust(data_h1, method="complete") 
plot(data_h2)

Cette Méthode nous donne la main à choisir le clustering qui nous convient et d’aprés ce graphe on peut déduire que la meilleure solution est de choisir deux clusters qui sont claires à identifier.

et en fin, aprés les manipulations qu’on a effectué on peut affirmer que notre data set se divise parfaitement en deux clusters qu’on va définir ses caractéristique dans la partie suivantes.

library(lattice)
ds <- data
ds[1:23]<-NULL
parallelplot(~ds, group = res.hcpc$data.clust$clust, data = ds, horizontal.axis = FALSE,
             auto.key = TRUE)

Intérprétation du graph de comparaison:

D’aprés le graph qu’on a obtenu on peut spécifier chacun des deux clusters : le premier cluster des avions contient Wifi, Video, power,satellite, club et ils sont classés comme first class ,Business Eco et comfort Economy. Concernant le deuxiéme cluster on a Video,Power,Flat bed,sleeper,et sont classés comme Business eco et EcoComfort. ce qui montre que l’ensemble des avions de la Tunisair manque la divérsité des services qui doivent etre bien répartis sur tout l’ensemble d’avions. Ce qui prouve le besion d’améliorer et travailler plus sur ce cote ainsi on peut en baser pour des futurs achat d’avions ou amélioration du services.

Les régles qui decrivent les caractéristiques des avions de notre data set:

library(arules)
## Loading required package: Matrix
## 
## Attaching package: 'arules'
## The following objects are masked from 'package:base':
## 
##     abbreviate, write
dataT<-data
dataT[1:23]<-NULL
dataT<-as.matrix.data.frame(dataT)
dataT<-as(dataT,"transactions")

data_1<-apriori(dataT,parameter = new("APparameter",support=0.1,confidence=0.5))
## Apriori
## 
## Parameter specification:
##  confidence minval smax arem  aval originalSupport maxtime support minlen
##         0.5    0.1    1 none FALSE            TRUE       5     0.1      1
##  maxlen target   ext
##      10  rules FALSE
## 
## Algorithmic control:
##  filter tree heap memopt load sort verbose
##     0.1 TRUE TRUE  FALSE TRUE    2    TRUE
## 
## Absolute minimum support count: 4 
## 
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[11 item(s), 44 transaction(s)] done [0.00s].
## sorting and recoding items ... [10 item(s)] done [0.00s].
## creating transaction tree ... done [0.00s].
## checking subsets of size 1 2 3 4 5 6 7 done [0.00s].
## writing ... [591 rule(s)] done [0.00s].
## creating S4 object  ... done [0.00s].
data_2<-sort(data_1,decreasing = T,by="lift")

data_3<-inspect(head(data_2,n=50))
##      lhs              rhs           support confidence     lift count
## [1]  {Video,                                                         
##       Power,                                                         
##       First.Class} => {Satellite} 0.1136364  0.8333333 6.111111     5
## [2]  {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       First.Class} => {Satellite} 0.1136364  0.8333333 6.111111     5
## [3]  {Video,                                                         
##       Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort} => {Satellite} 0.1136364  0.8333333 6.111111     5
## [4]  {Video,                                                         
##       Power,                                                         
##       First.Class,                                                   
##       Economy}     => {Satellite} 0.1136364  0.8333333 6.111111     5
## [5]  {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort} => {Satellite} 0.1136364  0.8333333 6.111111     5
## [6]  {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       First.Class,                                                   
##       Economy}     => {Satellite} 0.1136364  0.8333333 6.111111     5
## [7]  {Video,                                                         
##       Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1136364  0.8333333 6.111111     5
## [8]  {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1136364  0.8333333 6.111111     5
## [9]  {Wifi,                                                          
##       Video,                                                         
##       Power}       => {Satellite} 0.1363636  0.7500000 5.500000     6
## [10] {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       Eco.Comfort} => {Satellite} 0.1363636  0.7500000 5.500000     6
## [11] {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       Economy}     => {Satellite} 0.1363636  0.7500000 5.500000     6
## [12] {Wifi,                                                          
##       Video,                                                         
##       Power,                                                         
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1363636  0.7500000 5.500000     6
## [13] {Power,                                                         
##       First.Class} => {Satellite} 0.1136364  0.5555556 4.074074     5
## [14] {Wifi,                                                          
##       Power,                                                         
##       First.Class} => {Satellite} 0.1136364  0.5555556 4.074074     5
## [15] {Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort} => {Satellite} 0.1136364  0.5555556 4.074074     5
## [16] {Power,                                                         
##       First.Class,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5555556 4.074074     5
## [17] {Wifi,                                                          
##       Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort} => {Satellite} 0.1136364  0.5555556 4.074074     5
## [18] {Wifi,                                                          
##       Power,                                                         
##       First.Class,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5555556 4.074074     5
## [19] {Wifi,                                                          
##       Video,                                                         
##       First.Class,                                                   
##       Eco.Comfort} => {Satellite} 0.1136364  0.5555556 4.074074     5
## [20] {Wifi,                                                          
##       Video,                                                         
##       First.Class,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5555556 4.074074     5
## [21] {Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5555556 4.074074     5
## [22] {Wifi,                                                          
##       Power,                                                         
##       First.Class,                                                   
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5555556 4.074074     5
## [23] {Wifi,                                                          
##       Video,                                                         
##       First.Class,                                                   
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5555556 4.074074     5
## [24] {Wifi,                                                          
##       Power}       => {Satellite} 0.1363636  0.5454545 4.000000     6
## [25] {Wifi,                                                          
##       Power,                                                         
##       Eco.Comfort} => {Satellite} 0.1363636  0.5454545 4.000000     6
## [26] {Wifi,                                                          
##       Power,                                                         
##       Economy}     => {Satellite} 0.1363636  0.5454545 4.000000     6
## [27] {Wifi,                                                          
##       Video,                                                         
##       Eco.Comfort} => {Satellite} 0.1363636  0.5454545 4.000000     6
## [28] {Wifi,                                                          
##       Video,                                                         
##       Economy}     => {Satellite} 0.1363636  0.5454545 4.000000     6
## [29] {Wifi,                                                          
##       Power,                                                         
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1363636  0.5454545 4.000000     6
## [30] {Wifi,                                                          
##       Video,                                                         
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1363636  0.5454545 4.000000     6
## [31] {Wifi,                                                          
##       Video}       => {Satellite} 0.1363636  0.5000000 3.666667     6
## [32] {Wifi,                                                          
##       Video,                                                         
##       First.Class} => {Satellite} 0.1136364  0.5000000 3.666667     5
## [33] {Video,                                                         
##       First.Class,                                                   
##       Eco.Comfort} => {Satellite} 0.1136364  0.5000000 3.666667     5
## [34] {Video,                                                         
##       First.Class,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5000000 3.666667     5
## [35] {Video,                                                         
##       First.Class,                                                   
##       Eco.Comfort,                                                   
##       Economy}     => {Satellite} 0.1136364  0.5000000 3.666667     5
## [36] {Power,                                                         
##       Business}    => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [37] {Business,                                                      
##       Eco.Comfort} => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [38] {Business,                                                      
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [39] {Video,                                                         
##       Power,                                                         
##       Business}    => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [40] {Power,                                                         
##       Business,                                                      
##       Eco.Comfort} => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [41] {Power,                                                         
##       Business,                                                      
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [42] {Video,                                                         
##       Business,                                                      
##       Eco.Comfort} => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [43] {Video,                                                         
##       Business,                                                      
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [44] {Business,                                                      
##       Eco.Comfort,                                                   
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [45] {Video,                                                         
##       Power,                                                         
##       Business,                                                      
##       Eco.Comfort} => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [46] {Video,                                                         
##       Power,                                                         
##       Business,                                                      
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [47] {Power,                                                         
##       Business,                                                      
##       Eco.Comfort,                                                   
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [48] {Video,                                                         
##       Business,                                                      
##       Eco.Comfort,                                                   
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [49] {Video,                                                         
##       Power,                                                         
##       Business,                                                      
##       Eco.Comfort,                                                   
##       Economy}     => {Flat.bed}  0.2045455  0.5625000 2.750000     9
## [50] {Sleeper}     => {Business}  0.1363636  1.0000000 2.588235     6
library(arulesViz)
## Loading required package: grid
plot(data_2,engine = "plotly")
## To reduce overplotting, jitter is added! Use jitter = 0 to prevent jitter.